Think you may want to read the article on rabbit.org (the House Rabbit Society) about bonding rabbits with other pets. (In this case I don’t really think bonding is a good term.) Your cat’s reaction isn’t unusual, but my own opinion is that if your rabbit has only been home a day you are moving things along a little too quickly. Let them get used to each other being there, without Any forced interaction. Later on supervised introductions (like the ones you described) would be a good approach, but for now it would be a good idea to let them just get used to seeing each other, and having the others scent in their living space. This would be a good approach even if your cat’s attitude was relaxed, since it isn’t I’d suggest this adjustment period is even more vital. Let them be for a couple of weeks at the very least. My cats tend to like to observe things, even those they don’t like, and chances are she’ll come investigate and draw her own conclusions given time. As long as the rabbit is safe (cats can do a lot of damage, and a frightened animal can be more dangerous then a calm one), letting them just spend time in the house/room together while the rabbit is safely penned (or caged) would be wise. If she shows any aggressive behaviour when she has herself chosen to be near the rabbit then I’d scold her for it (or remove her), but as long as it isn’t nasty I’d let be.

There are many people who have had positive experiences with cats and rabbits so I expect some time and patience will be good investments and bring results. My last rabbit’s best friend for many years was my oldest cat, and later when I adopted a kitten she went from regarding him as lunch to caring terribly about him. Spent days lying on his empty cage looking for him after he died. She is becoming friendly with my new pair, her feelings were a little hurt at first since unlike my other rabbit they had each other and so took longer to notice her. Now she spends lots of time in their room and sleeping on their cage. It looks horribly uncomfortable to lie on so I have to think its the company. They may never play together but once your cat has had time to adjust and understand something about your new furry one I think they will build some kind of relationship. You can help along the way but they will have to come to terms with each other in their own way.