Family burned at the stake, Izuku Midoriya runs away from the sight of the assailants he had lived with to find somewhere to hide. His crime in their eyes, his half demon blood lineage with his family paying the punishment of hiding him. Now trained...
So this is going to be for the most part Izuku's relationship with each Hashira prior and current.
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Kanae Kocho
As the person who took care of him after the incident, Kanae acts like an older sister or motherly figure to Izuku. She feels sympathy for him and only wants Izuku to live a life of peace to feel a little shame knowing he chose to walk the path of the Demon Slayer in more ways than one. Though she has to dislike Muzan Kibutsushi, she doesn't like the possibility of Izuku having to fight his own father.
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Shinobu Kocho
First learning of Izuku's lineage, Shinobu was uneasy with Izuku for obvious reasons. But after learning he wasn't dangerous, the Insect Breathing Demon Slayer accepted him and occasionally helped Izuku with making his own Breathing Style that fit him. Upon returning from Final Selection, she's also the one that tells Izuku of Kanae's passing for her to realize how hard this hit Izuku of all people. She hates the fact Izuku has to fight demons in the Corps, but knows there's no stopping him to only help where she can.
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Shinjuro Rengoku
Izuku met Shinjuro when he was still a Hashira to notice the spirit of his late wife watching over him to know he's hurting a lot. One day in a drunken fit, Shinjuro attacked Izuku claiming him to be a demon for him to give a nasty gash over his torso. Knowing it would be bad for everyone if it's shown why Shinjuro did it or even the fact a member of the Demon Slayer Corps attacked another member, Izuku lied and said it was training that got out of hand. Shinjuro silently hates Izuku for doing this and thinks he's looking down on him due to his inferiority complex.
