Problem with cover brought back by girl (7)
I believe the answer is:
dilemma
'problem' is the definition.
(a dilemma is a problem)
'cover brought back by girl' is the wordplay.
'cover' becomes 'lid' (lid is a kind of cover).
'brought back' is a reversal indicator.
'by girl' becomes 'emma' (girl's name. I am not sure about the 'by' bit.).
'lid' backwards is 'dil'.
'dil'+'emma'='DILEMMA'
'with' acts as a link.
Can you help me to learn more?
(Other definitions for dilemma that I've seen before include "Difficult choice; quandary" , "doubtful state" , "Difficult decision" , "Problem (with horns?)" , "embarrassment" .)