I work as a vet technician and don't happen to know anyone who is color blind. But I can garuntee you that being good with animals and their health care is completely independent of knowing what color they are. It would probably even be a little quirk that some people would think is endearing. Working with animals in most any way is probably the most rewarding job there is, so good luck with whatever you pursue. =)
When people ask me if i'm a cat person or a dog person I tell them, "I'm a snake person"!