King's girl meeting fellow had an affair (7,2)
I believe the answer is:
carried on
'an affair' is the definition.
I don't know anything about this answer so I can't judge whether it can be defined by this definition.
'king's girl meeting fellow' is the wordplay.
I cannot really see how this works, but
'girl' could be 'carrie' and 'carrie' is found in the answer.
'fellow' could be 'don' (both can mean an academic) and 'don' is present in the answer.
No letters remain.
This may be the basis of the clue (or it may be nonsense).
'had' acts as a link.
Can you help me to learn more?
(Another definition for carried on that I've seen is " Continued".)