Dakishimete! Noir(2003)

Dakishimete! Noir

From AnimeNewsNetwork:
Suzu is a 16 year old girl who's never had a boyfriend and can understand what animals are thinking. She finds an injured cat, Noir and takes it home to care for it. The next morning the cat turns into a boy named Noa. There are people who are trying to capture Noir/Noa by controlling the minds of cats and forcing them to attack Suzu and Noa. Noa is determined to stay with Suzu and asks her to have his child.