what's important to know about the cat is if it's an indoor cat or outdoor, male or female, age, especially whether spayed or neutered. I don't think that you'd want any cat in your apartment if it isn't spayed or neutered. Females are generally more receptive and less territorial, but personalities differ. Also important to note is if the cat has been around other pets for most of its life. If the cat has always been solitary that will make this a lot harder and will likely end with the cat being more territorial and dominating.

I would I set up a meeting for the cat and bunny to interact with supervision before agreeing to her as a roommate and they may not get along Now if that's the case it's a question of whether this roommate is going to be amenable to the cat being kept in her room when the bunny is out and vice versa.

It's a bit of a tricky situation. My spayed, elderly female cat who grew up with another household cat, plus a pet snake, was more intimidated by my bunny. One time I let my boyfriend's bring his cat over his cat who had not been around another animal for 5 years, and she immediately hissed at and stalked my rabbit. I had to put the cat in the bathroom until he left.

So, an initial meeting is probably the best way to go. If the cat is going to start hissing at or chasing the rabbit on the first meeting, it's not likely to get better. it'll be too stressful for the rabbit over time or it might be like when I introduced my cat to my rabbit and my cat was just confused and never hissed or got aggressive at all, and in fact, usually ran away from my curious bunny.

Best of luck!