I'm glad to hear that he doesn't hurt her, but it stresses your cat out when your father chases her out of the room. The cat doesn't understand what she has done wrong.

In my first post I asked you:
Have you spoken to your father about how it makes YOU feel, when he is mean to your cat?
Did Khloey do something to your father for him to be mean to her?

You said that other days he doesn't mind, other days he is really stressed. This does not give him the right to take his bad days out on Khloey. It isn't fair to her or to you.