Perhaps Alan Bennett upset her, not having some characters reappear (10)
I believe the answer is:
northerner
'some characters reappear' is the definition.
I can't judge whether this definition defines the answer.
'perhaps alan bennett upset her not' is the wordplay.
I cannot really understand how this works, but
'not' could be 'no' (negative) and 'no' is present in the answer.
This may be the basis of the clue (or it may be nonsense).
'having' acts as a link.
Can you help me to learn more?
(Other definitions for northerner that I've seen before include "One from the top of the map" , "Yorkshireman?" , "Inhabitant of Yorkshire, say" , "Maybe Scotsman" .)