There does not appear to be a specific personality profile for veterinarians and most personality types are unrelated to their well-being. The personality trait neuroticism is the exception.
Like other neurotic individuals, neurotic veterinarians experience more negative affect, less positive affect, and lower life satisfaction . . .”
Source: Advances in Small Animal Care, June 23, 2023. Link. Veterinarians as a group score higher in neuroticism than the general population.