You have to get her permission to essentially NTR her? Like, this whole thing doesn't work when she's basically a small human.
I... wanna say it's metaphorical? The humans don't really respond to her words, she climbs places small humans would have difficulty climbing, and she eats actual cat treats, so I'm going to go with her not actually being a cat-person, but just a personified cat. So it's okay. But then, I get weirded out by settings with sapient animal-people as pets at the best of times, so maybe I'm just reading it the way I want to read it?
I don't know, I read a yaoi recently where a dog came back to life in human form and had sex with his owner, and I felt like that was pretty weird too, so I think I just prefer in general when stories keep a pretty firm divide between their human and animal relationships. I've read too many reddit posts by dudes wanting to clone women and replace their brains with dog brains so they can fuck their dog in a human body to find the whole "my pet is my lover" fantasy particularly appealing.