Flinn

"Finn, even if we like each other, we're going to hurt each other."

- Flame Princess to Finn in "Hot to the Touch"

Flinn is the Het ship between Finn and Flame Princess from the Adventure Time fandom.

Canon
Flame Princess does not actually meet Finn in person until the very end of "Incendium." After she is doused with liquid pyrotechnics, she unconsciously falls off the roof of the Tree Fort. Finn catches her as she is falling and brings her inside. She regains consciousness and angrily asks Finn why he does not like her; Finn replies that he does like her, which causes her to blush in surprise. Confused by Finn's apparent fickleness, she slaps him and warns him never to mess with her again—unaware that Jake was the original "Prince Finn."

In "Hot to the Touch," Finn wanders into the woods to search for the Princess, after asking Jake about her and saying he really likes her. When Finn finds Flame Princess he watches her from a bush at first, calling her innocent like "the steam off a puppy's nose searching for ham in the snow" and "a cute little flower." She touches a pool of water, hurting herself, and Finn jumps out from the bush to her aid. He then tells her that he was worried about her and thinks that she is beautiful. This causes her to glow, causing some fire to spread around Finn and herself. Finn puts out the fires in a panic which causes her pain, causing Flame Princess to believe that Finn is intentionally hurting her. She leaves in a huff without allowing Finn a chance to explain, not listening to his claims that he was not trying to hurt her.

After a brief chase, she concludes Finn is trying to impede her, so she decides to turn the Grass Lands into her own fire kingdom. She begins by heading for Goblin Kingdom to set it and its citizens on fire. Finn and Jake attempt to stop her with Robo suits made by Neptr, but Finn only attempts to talk her out of it rather than put out her fires. When Finn realizes he cannot make her understand his feelings, he tears a hole in his robo suit and cries wishing he could "just like a girl." One of his tears falls onto the flames as she is walking away from him, causing her to turn around and witness him crying. She becomes convinced that he is a "Water Elemental," saying that all he does is cry and cry all the time. She comes to the conclusion that they are opposite elementals and that even if they like each other, they would hurt each other. However, Finn suggests that they try to make it work and that he can take it. She seems happy that he would want to defy nature for her, and both lean in to hug one another. As they hug, Finn gets burned and pushes her away. She looks at him appearing unsure, and then leaves saying, "Bye, Finn."

In "Burning Low," she and Finn are dating. Finn helps her build a new house in the Grass Lands out of wood scraps, and she tells him that she loves it. Her flames trail over to Finn's foot and he is surprised to realize that it does not hurt as bad as it used to; though, once the flames crawl up his leg he screams in pain and jumps into the water. Finn and Flame Princess hug once he is out of the water, although Finn has to wear many layers of tinfoil to protect himself. While walking home, Finn asks Jake for advice about dating, to which Jake explains the concept of "tiers" and tells Finn that he should move on to Tier 2, which is kissing. Later in the episode, Finn goes on a date with Flame Princess off-screen and tells Jake that he was not able to kiss her yet (though he got 5 hugs), so he is still on Tier 1. Jake advises Finn to write a poem for Flame Princess in order to move things along. Finn tries to think about Flame Princess' qualities, and he ends up going outside and watching the sunrise, which gives him inspiration to write. He takes the finished poem over to Flame Princess' new house and reads it to her. After he is done they stare into each other's eyes and kiss. The kiss triggers a reaction and causes her to burn so hot that she melts through the ground, as Princess Bubblegum stated. As she is falling, Finn grabs Jake's arm, ties it around himself and jumps down after her. Flame Princess' reaction is halted by lack of oxygen, and when Finn catches up to her she is extinguished and passed out. Though nearly out of oxygen himself, Finn picks her up and tells that he needs her to be okay. He then gives her artificial respiration, which causes her to re-ignite (though Finn passes out from lack of oxygen). Jake pulls them out of the hole and both of them are all right (parts of Finn's face are burned from the kiss). Finn asks Flame Princess if she is okay after what had happened. Finn picks up a rock and kisses it, then hands it to Flame Princess who kisses it as well.

In "King Worm," Flame Princess is feeding Finn (whom she calls "honey") soup; first lovingly, then angrily when he hesitates (he was confused, having been with Princess Bubblegum as her king and husband seconds earlier). However, Finn soon discovers that he is in a dream and she is not the real Flame Princess.

In "Ignition Point," Finn and Jake travel to the Fire Kingdom to retrieve Flame Princess' scented candles. While there, Finn finds out that Flame Princess is evil, but he seems pleased to know that she could possibly be turned to good.

In "Reign of Gunters," Finn takes the advice of a dating book called Mind Games and tries to act more mysterious to keep girls in a state of confusion in case things don't work out between him and Flame Princess.

In "Vault of Bones," she goes into the Vault of Bones with Finn to prove to herself that she is good. He teaches her properly how to dungeon crawl, but she finds his methods boring (due to her impatient and destructive personality) and tells him that she is not having fun. After Finn allows her to do things her own way, she proceeds to burn everything down with her elemental powers. When a Giant Goo Skull captures Finn, she rescues him by intimidating it. At first, Finn thought he was going to be burned alive because of how Flame Princess approached the Goo Skull, but after he is rescued, Flame Princess says she would never hurt her boyfriend, calling him her boyfriend for the first time.

At the end of the episode, Flame Princess thanks Finn for taking her to the dungeon and suggests that they go to another dungeon sometime.

In "Jake Suit," she invites Finn to her house to meet her less-evil family members. She totally does not even mind that he makes a fool of himself once she finds out it was for a bet with Jake. She believes that Finn will win and cheers him on, giving him the support he needs to survive the final stretch of Jake's gauntlet.

In "Frost & Fire," Finn and Flame Princess are interrupted by Ice King in the middle of a picnic. After Flame Princess beats up Ice King for insulting her, Finn starts to have weird dreams with the Cosmic Owl in it, but keeps waking up before he can finish the dream. Finn tries to get Flame Princess and Ice King fight by writing insulting messages about them and claiming the other sent it. This, however, leads to Finn attempting to apologize and to continue their relationship, but to no avail as Flame Princess leaves saying "...I need some time alone."

In "Too Old," it is revealed the couple had broken up, and so Finn makes one last attempt at Princess Bubblegum. It fails as usual, and he tells Jake he has to "patch things up with Flame Princess," so it is unknown if they get back together or not, as Jake ominously states Flame Princess could have already replaced Finn with a new boyfriend.

In "Earth & Water," Flame Princess has troubles controlling her emotions again after her breakup with Finn and ponders whether she wants to be with him again. She later befriends Cinnamon Bun when Princess Bubblegum leaves her unattended in the middle of a test and tells him that sometimes friends are "hard to understand" and that they are "just playing mind games." This may be due to Finn keeping all the ladies in confusion after reading the book Mind Games in "Reign of Gunters." Later in the episode, Flame Princess overthrows Flame King and became the new ruler. When Finn tries to apologize to her, she accepts his apology. He asks her if they are still going out. She says no but they can still be friends and that he can come by anytime as long as he is completely honest with her.

In "The Red Throne," after being secretly poisoned by her treacherous hand maiden and escaping Flame Lord, Flame Princess seeks help from Finn in order to save the Fire Kingdom. Despite apprising Finn specifically that they are not getting back together and that they are only meeting so that he can help her reclaim her kingdom, Finn tried to impress the princess with his improved swordsmanship and showed-off impulsively by charging into the Fire Kingdom, which annoyed Flame Princess. In the dungeon, Finn revealed that he thinks that Flame Princess still has feelings for him, to which she protests.

Finn continues to admit to others his love for her in "Love Games" and "The Pit." Despite her rejection, she does, however, still want to be friends even after his betrayal in "Frost & Fire." In "Breezy," it is revealed by Dr. Princess that Finn no longer talks to Flame Princess, indicating he no longer has feelings for her and instead harbors contempt (although in "The Mountain" when he sees her, she "kinda messed (Finn) up"), possibly since he thinks Flame Princess and Cinnamon Bun are dating.

It is likely that Finn continues to harbor genuine romantic affection for Flame Princess, as seen in The Comet. When the Purple Comet offers Finn a new mode of existence, she explains the crisis caused by the weight of this decision. She goes on to mention the various aspects of his human life he would be free from, the first is love, which is signified with a modern appearance of Flame Princess. This isn't to say that his feelings might not have changed at all, or that they are reciprocated by Flame Princess, but they likely still exist despite the conflict caused in himself by her rejection.

In "Bun Bun," Finn delivers Bun Bun to the Fire Kingdom. Flame Princess was excited to see him and invited him in for lunch. Finn apologized more sincerely this time, saying "I said I was sorry but I didn't fully understand what I had done wrong." Flame Princess was happy to hear that and said that he's grown up a lot. After this the two have fun as friends and are now seen casually together without any drama.

In "Happy Warrior," Finn was concerned that the supposedly dragon (in fact, the image of the Fire Princess) had eaten it, but after a while, succumbing to anger, he himself became a Fire Elemental. Lumpy Space Princess thinks that they have a chance to come together again.

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Trivia

 * In the original storyboard for "Hot to the Touch," Flame Princess was supposed to kiss Finn; however, the idea was dropped and reused for "Burning Low."
 * She refers to Finn as her boyfriend in "Vault of Bones" and Finn refers to Flame Princess as his girlfriend in "Puhoy."
 * In "Puhoy," Finn is briefly concerned that their relationship is over after Flame Princess did not get a joke he made, and ventures into a Pillow World where he lives through a lifetime with a pillow wife and pillow children. When he dies of old age in this world and "returns" to Ooo, he immediately gets a phone call from Flame Princess telling him she now gets the joke and promptly forgets about his "dream" of the Pillow World.
 * In the episode "The Pit," Finn mentions that he still loves her, even though she rejected him in "Earth & Water."