Hat back-to-front, girl in predicament (7)
I believe the answer is:
dilemma
'predicament' is the definition.
(I've seen this before)
'hat back-to-front girl' is the wordplay.
'hat' becomes 'lid' (synonyms).
'back-to-front' shows that the letters should be reversed in order.
'girl' becomes 'emma' ().
'lid' written backwards gives 'dil'.
'dil'+'emma'='DILEMMA'
'in' acts as a link.
(Other definitions for dilemma that I've seen before include "Catch-22" , "I'm lamed - it's a puzzle" , "Difficult-choice situation" , "Difficult situation - may have horns" , "Shavian doctor's problem" .)