No one knew that you were the daughter of All Might except for the teachers, Principal Nezu, and Nurse Rika. Your power is reincarnation. You do not want to be famous because of your father or for people and the media to say that you were accepted into UA High School because you are the daughter of the symbol of peace. You want to be a heroine. With your power alone, when you went to your father All Might's teacher's room, you knew about Izuku's presence, so I overheard, and when you heard that Izuku was the ninth heir to the One for All power that All Might had given him, you felt angry because the heir was not you, you hit the door and opened it. With all your might and your face red with anger, you were surprised and All Might tried to keep the secret of one for the sake of all.