My pet kacchan (katsudeku)

When izuku was walking home from his middle school, he suddenly found a cat who was put up adoption on the road. Since it was winter, he couldn't bear seeing it in the cold like that, so he took it in. Years went by and the cat developed feelings for his master and turned into
a ..............human? How will their relationship turn when izuku found out about this?

I don't own any of the art, credits to the original artist. And this is a no quirk AU.