Honestly, I think if being a vet is what you want to do, so long as you qualify and are really committed you shouldn't have a problem. Sure, we're/Aspies are asocial, but not when it comes to our special interests. If being a vet is related to your special interest, I can't see so much of a problem.
For example, when it was break at high school (I graduated a few months back), I absolutely sucked at social interaction. However, when I'm at my camera club every Monday I'm great - you can't tell I'm any different from the next person.