Maybe she actually does think she is a rabbit and the stalking was play related!?
CC has 8 rabbits that are free roam in her back garden, all neutered of course and none of the cats bother them....I'd even go as far as saying the cats seem more wary of the rabbits!
I lost one of my cats one time and on my search for him I found a rabbit (dont ask lol!) but I brought it back here in a carrier cos I could not bare to think what would of happened to it....None of mine hurt it and it was left in the hall overnight where it wandered and pooped, and pooped and wandered (need I go on! lol)
Here's a pic of the bun in the carrier...
I would be tempted to give them a go together in the house under tight supervision of course....Seeing cc's buns and knowing they can control the cats there I would be wanting to know if things could work out!