My cats outnumber my kids 5:3
I have pictures of all three children as babies asleep with a cat stretched out next to them.... in fact one of the cats is only here because she took such a shine to ds2 as a kitten i didn't have the heart to rehome her
Owning a pet is actually beneficial to the child in many ways... if she's the sientific kind here are some referances:
Contact with pets develops nurturing behaviour in children who may grow to be more nurturing adults (Melson, 1990).
Children exposed to humane education programs display enhanced empathy for humans compared with children not exposed to such programs. (Ascione, 1992).
Positive self-esteem of children is enhanced by owning a pet. (Bergensen, 1989).
Children's cognitive development can be enhanced by owning a pet. (Poresky, 1988).
The presence of a dog during a child's physical examine decreases their stress. (Nadgengast, 1997, Baun, 1998).
Children owning pets are more involved in activities such as sports, hobbies, clubs or chores. (Melson, 1990)
Companionship of pets (particularly dogs) helps children in families adjust better to the serious illness and
death of a parent (Raveis, 1993).
I also definitely remember reading research stating that children who live in homes with at least two pets have stronger immune systems and get sick less often but i'm too lazy to find a referance for that one. It's all certainly true of my children though.... they're all extremely healthy and very gentle and loving with the cats... I could trust ds1 to hold a day old kitten in his hands at 2yo and know that he wouldn't hurt it or scare it.
Try and avoid baby using the litter tray as a sandpit and you've nothing to worry about