The sign for VET is generally just fingerspelled:
Sample video: SUPPOSE YOUR DOG SICK, YOU CARRY VET?
Signing note: I notice that at high speed the letter "E" in the fingerspelled sign "VET" tends to mutate into two bent fingers resting on the thumb (since you recently used those two fingers to do the letter "V").
Or, if needed for context, you could sign "ANIMAL + DOCTOR" the first time and from then on spell V-E-T
A student asked me if this spelling "V-E-T" could be used for "vet" as in a military veteran.
Yes, it can. You just have to remember "context." If it were me, the first time around I'd sign, "HE ARMY BEFORE HE" to indicate that he was in the military.
Also see: VETERAN ►
Notes: