HomuMado

HomuMado is the femslash ship between Homura Akemi and Madoka Kaname from the Puella Magi Madoka Magica fandom.

Canon
When Homura was shyer and less hardened by the world, Madoka was the first person to approach her and accept her. Madoka helped Homura feel stronger, as before Homura had been worried that she was weak and useless. They became best friends and Homura evidently developed strong feelings towards Madoka. Eventually Madoka died in the fight against Walpurgisnacht and Homura made a contract with Kyubey to become a Magical Girl and gain the power to turn back time. She resets her time at school countless times trying to save Madoka, but Madoka would always either die or become a Witch herself. These constant failures cause Homura to become the cold and distant girl she is at the beginning of the series.

The Only Thing I Have Left to Guide Me
Homura has a famous confession scene where it alludes to her having feelings for Madoka and having a difficult time processing how to deal with a relationship where she knows more about their history together than Madoka does.

My Very Best Friend
Madoka becomes a Magical Girl and is ascended to godhood as a result of Homura's time travel connecting her with the suffering of the previous timelines. She uses her powers to rewrite the universe, making it so Magical Girls no longer turn into Witches once they exhaust their Soul Gems, instead being ascended into a paradise she made. Madoka holds an intimate conversation with Homura at this point, telling her that she is now aware of all the timelines and everything Homura went though just to save her and also of her true feelings. She bids her farewell, tells her they will be friends forever, that they will only be apart for 'a bit', and gives her her ribbon, all while both of them are naked and floating in astral space.

The Rebellion
Madoka attempts to ascend Homura into her Valhalla once her Soul Gem is fully corrupted, but is taken by surprise by the pocket dimesion Kyubey put had put Homura in. Madoka is then trapped inside Homura's semi-Witch barrier, losing her powerts and her memories. Halfway through the movie, the two of them share an intimate moment on a flower field, during which Madoka strongly implies having feelings for Homura as well. In the end, Homura steals Madoka's powers and becomes and goddess herself, made possible due to her Soul Gem being corrupted not by despair but by "Love". She rewrites the universe once more and in the final scene she tells Madoka her ribbon looks good on her and that they will be enemies one day.

Fanon
On AO3, it is the most written ship for both characters and the most popular ship within the PMMM fandom. In fact, outside of AO3, and across all fansites involving the show, it is the most popular pairing. When written or drawn, it is usually paired with Kyosaya (Kyouko + Sayaka) as a side pairing.

Some fans suggest the red ribbons Madoka gives to Homura at the end of episode 12 may also represent the red string of fate, as "two people connected by the red thread are destined lovers, regardless of time, place or circumstances."

Fandom
FAN FICTION

TUMBLR

Triva
A: Probably. A: I don't think it is that special -- a really strong friendship turns into a lovelike-relationship without the sexual attraction, in their case.
 * In the audio commentary for Episode 11, Chiwa Saito (who voices Homura) found the confession scene to be touching and emotional, and it left her with a huge impression. She confesses that she cried.
 * Aoi Yuuki (who voices Madoka) found the scene to be amazing and filled her with emotions. Aoi Yuuki believes that, surely Madoka would have accepted Homura's feelings.
 * In the audio commentary for Episode 12, with the possibility of a second season, Chiwa Saito asks Gen Urobuchi for a love-love scene with Madoka.
 * Aoi Yuuki agrees with Chiwa Saito by replying, "I want to be happy~".
 * In 2013, at a Nitro+ Q&A Panel, Gen Urobuchi was asked the following questions, which he answered:
 * Q: Is Homura in love with Madoka?
 * Q: Why did you choose to portray a homosexual love?