Veterinaran, vet or animal doctor
Veterinary surgeon
It is a Veterinary physician, or veterinary surgeon, or Vet for short.
The term "veterinary surgeon" should not be capitalized unless it is part of a specific title or name. For example, you would write "Dr. Smith, a veterinary surgeon," but "the veterinary surgeon will see you now." In general usage, common nouns like this are not capitalized.
They could be a veterinary surgeon: i.e. Doctor of Veterinary Medicine (DVM)
Donald Sinclair - veterinary surgeon - was born in 1911.
Donald Sinclair - veterinary surgeon - died in 1995.
This will depend upon where in the world you are. In North America, an equine surgeon would be a veterinarian who is board certified in equine (horse) surgery. Outside of North America, the term veterinary surgeon refers to any graduate of an accredited veterinary school and an equine veterinary surgeon would be an individual who primarily or exclusively cares for horses.
Mark Evans, the TV presenter and veterinary surgeon, was born on December 24, 1965. He is best known for his work in animal welfare and television, particularly in programs related to veterinary science.
landscaper, tree surgeon,
Woodsman, lumberjack . Tree surgeon in the UK
Veterinary surgeons typically aren't rated like human physicians or restaurants. If you need a veterinary surgeon, I suggest looking for a board-certified veterinary surgeon (ask about board certification credentials) who has specialized in the type of surgery your pet needs (large animal, equine, small animal soft tissue, small animal orthopedic, exotic pet).
You have to go to college for four years and then take another four years for veterinary medicine. So eight years of college but then you need to take a like state test and say a pledge to be a vet.