Utah Code Ann. § 58-28-307
In addition to the exemptions from licensure in Section 58-1-307 this chapter does not apply to:
(1) any person who practices veterinary medicine, surgery, or dentistry upon any animal owned by him, and the employee of that person when the practice is upon an animal owned by his employer, and incidental to his employment, except:
(12)
(14) an animal shelter employee who is: