Note that some veterinary school applicants end up as physicians; veterinary schools are among the most selective.
And not that many slots ~3000.
I had a friend in college back in the early 1980s that wanted to be a veterinarian since he was a kid. He got almost all A's in college but got turned down by every vet school in the country (there were not very many).
He ended up going to medical school instead. For the past 25 years he has been a surgeon in Houston.