It's great that your daughter has the opportunity to have animals in her life while she's young. I think being around animals and caring for them is good for children. As a child, I couldn't have any animals. As an adult, I haven't been without multiple animals in my life in many years.
My parents always let us have animals of various kinds--rabbits, goats, my sister had geese, many pigs, etc., etc., etc. It was always a great experience to have the responsibility of caring for them, and of course life-lessons of birth and death. I always wanted my kids to have that experience and I think our daughter might someday have a career with animals, whether owning a pet shop, a vet, or zookeeper or dolphin trainer.
I feel bad for parents who won't let their kids have pets--one of my daughter's friends doesn't have any pets and just loves it at our house--always excited to help feed and pet them. And they all seem to know she's unfamiliar with animals so are friendly and gentle with her.