K.L.
So, I've always been a cat person - since I was born (and I am now 26) I have never lived anywhere without having a cat. When my mother got a bunny when I was in high school, I thought it was the most ridiculous thing and, while cute, was ready to be happy looking at it in the hutch in the back yard.
Boy, did that rabbit change my tune! You would not believe the PERSONALITY a rabbit can have - Im dead serious! My mother's rabbit was more like a cat in habit - she enjoyed sitting in people's laps, being scratched, held, and loved - she was sweet and playful, and quite clean. She was an indoor/outdoor bunny: she slept in a cage in the house at night but was allowed to come and go in and out of the house to the back-yard as she pleased, and she enjoyed being outside to play during the day. She prefered to be with someone as opposed to alone, and followed my mother around the house like a puppy: she RARELY used the potty outside her cage/in the back yard so there was never any mess (though you have to keep the cage clean - it is an easy animal to clean up after, though, and just the right amount of responsibility for a 10 year old). The only draw back is that rabbits chew wires: lamp cords, cables, tv connectors, anything they can get their teeth on - and they will chew right through them with no heed or mind of the electric shocks they get (in fact, our rabbit seemed to LIKE it!). They will chew on other things in your house too - it just depends on the rabbit. Food and bedding are very cheap - I'd say, go for it. They are easier to care for and much less maintenance than a cat or dog: they don't require the attention, but appreciate it if your daughter has the time to give it to the animal.
Get a dwarf rabbit, as the other breeds can get VERY LARGE - unless you want a huge bunny. I've seen many easily the size of a large cat/small dog - super cute, but since our rabbit was mostly indoors, she needed to be small.