aw! you got a kitty! well, there's nothing bad between cats and bunnies. i personally don't have a cat, but i do have a bunny. let the kitty be alone for awhile. once 24 hours pass, let her out. let her walk around but keep the bunny not even close to her. after a few days introduce the bunny to the kitty. the bunny may be the predator to the kitty or vice- verse. if the cat yelps or shoots her arm at the bunny, move her away from the bunny and separate them, and vice- verse.
you can never know what might ever happen, every bunny and cat is different . but make sure to vet-check the cat before bringing her even near the bunny. (:
i'm pretty sure there aren't any illnesses transmitted from bunny to cat or vice verse. but make sure to ask your vet all these questions before joining them together.
* i have no experience with this type of situation, but try it out! (;
here are some sites that might help (:
rabbit house society ( cats and rabbits) :
a video on rabbits and cats :
Hope I Helped !