Hi Michale, that is a good question and a seemingly logical one. However, in my opinion the basis for this answer is surprising to most.
Many folks will recommend pursuing degrees in the life sciences (Animal Science, Biology, Microbiology, etc). The advantage of pursuing a degree in this category is that the requirements for achieving that degree most closely align with the pre-requisites for acceptance into veterinary school. Thus minimizing the
The problem is you may not be particularly interested in that subject. Which means it's going to seem like a a big chore to get to your dream of being a vet. And thus more difficult to maintain a high GPA.
Despite what some may say, GPA is king when getting accepted into any professional school. And it's a helluva lot easier to study and achieve top scores on subject matter that interests you. The downside to getting a non-science degree is that you will have to take a few extra course in order to satisfy the pre-reqs for vet school.
But in my opinion someone that has a 3.9-4.0 GPA with a degree in Theater, but also has all of the pre-reqs for vet school, looks a whole more interesting and stands out from the crowd of 1500 other students who all have 3.95's with a degree in Animal Science. And that's what it's about...having excellent grades and standing out from the crowd.
However, if you pushed me, and said "TELL WHAT DEGREE TO GET!" I'd say get a business degree. That will do two things for you. 1. You are given no business classes in vet school. So if have any aspirations of owning your own practice, you will have to learn on your own, aka school of hard knocks. and 2. If you don't manage to get accepted in to veterinary school you will have a degree that will absolutely be of value.