Study abnormal tits, being a health professional (7)
I believe the answer is:
dentist
'a health professional' is the definition.
(I know that dentist is a type of medic)
'study abnormal tits' is the wordplay.
'study' becomes 'den' (term for a study or office).
'abnormal' indicates anagramming the letters.
'tits' with letters rearranged gives 'tist'.
'den'+'tist'='DENTIST'
'being' acts as a link.
(Other definitions for dentist that I've seen before include "Oral surgeon" , "Tooth doctor" , "Practitioner who looks down in the mouth?" , "expert in oral examination" , "Teeth specialist" .)