Your quirk is 'neko', you have hat ears and a tail in your human-like form and you can also turn into a cat.

Just about a week ago your parents kicked you out of their house. And so you were out there wandering the streets. Winter was approaching rapidly and its getting way colder. Eventually from weakness you turned into your cat form and hid in some random box in an alleyway, curled up in there.

Aizawa was patrolling near that area and while being kinda bored, kicked the box with his foot, thinking that it was empty. His eyes immediately widened when he saw a small barely conscious cat rolling out of the box, almost lifelessly.

He immediately knelt down and picked you up, examining the cat in his hands.