EnZan

EnZan is the slash ship between Muzan Kibutsuji and Enmu from the Demon Slayer fandom.

Canon
During the final Lower Moons meeting in Episode 26, Muzan, in his female form, killed all of the Lower Moons except Enmu, Lower Moon 1. The meeting was brought to order because Lower Moon 5, Rui, had died at the hands of Giyuu and Tanjiro.

After Muzan killed Rokuro, Lower Moon 2, he asked Enmu for his last words. However, unlike the other Lower Moons, Enmu didn’t express terror or desperation to be spared. He instead expressed blushing delight at being killed by Muzan, saying it was the greatest honor he could have as a demon. Enmu praises Muzan and thanks him for letting him become a demon and be left as the last one to die. Likely surprised by his actions, instead of killing Enmu, gave him a generous amount of his blood through his neck, and instructs him to kill the Hashira and the "demon hunter with the hanafuda card earrings" in order to receive even more of his blood.

At the end of the Mugen Train Arc (The Demon Slayer movie), as Enmu was dying, he lamented that he wanted to get more of Muzan’s blood to have a blood duel with an Upper Moon to take their place. He goes on to complain that the Lower Rank demons never get any higher, and that despite getting so much of Muzan's blood, he wasn't able to defeat anyone. Enmu ends off wailing about how it was such a miserable nightmare, before fading into dust.

Fanon
Enmu's passionate praise about Muzan led many fans to think that Enmu is extremely devoted to the demons and worships him with something close to infatuation. He likely wanted to be an Upper Moon to be closer to Muzan, or to not be seen as weak and worthless in Muzan’s eyes.

Stories on AO3 consist of modern-day parallel world AU of Enmu and Muzan, or the two when Enmu first became a demon. There are many theories about the two, as Enmu's backstory was never fully revealed.

Because Enmu only made his appearance for a short amount of time in the anime and the manga before dying, EnZan is a relatively new and unpopular ship in the Demon Slayer fandom. Some people dislike their dynamic and how their relationship might be toxic, but there are also a good amount of fans that love the ship.

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Trivia

 * Enmu uses the suffix -sama for Muzan, meaning he holds him in high respect and greatly admires him.
 * Enmu is seen blushing in many of the scene where Muzan is concerned