Girl beginning to despise bore (7)
I believe the answer is:
carried
'bore' is the definition.
('carry' can be a synonym of 'bear')
'girl beginning to despise' is the wordplay.
I cannot really see how this works, but
'girl' could be 'carrie' and 'carrie' is located in the answer.
A single letter 'd' remains which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for carried that I've seen before include "Published" , "Conveyed, transported" , "Held" , "(Of a motion) passed" , "passed by majority" .)