Healing old wounds (recovery deku au) {BakuDeku}

So Izuku is a girl in this story, she and Katsuki were friends when they were 2-3 but then she moved away, she found out she had a recovery quirk and a battle quirk, she decided to study at UA high in the 'nurse' program, on her second day Nezu moves her into the hero course homeroom. (So basically she only has hero training with class 1-A then she goes back to her regular schedule for the nurse program) the class doesn't take her seriously since she doesn't use her battle quirk in training until USJ.