I object to the doctor getting a note (4)
I believe the answer is:
memo
'a note' is the definition.
(a memo is a short note)
'i object to the doctor getting' is the wordplay.
'i object' becomes 'me'.
'to the doctor' becomes 'mo' (medical officer).
'getting' says to put letters next to each other.
'me'+'mo'='MEMO'
(Other definitions for memo that I've seen before include "In brief, a note of events" , "A brief record of events" , "- Currie, Br. politician" , "A little something to be remembered" , "diplomatic communication?" .)