Difficult to stifle answer in church parody ... (7)
I believe the answer is:
charade
'parody' is the definition.
(synonyms)
'difficult to stifle answer in church' is the wordplay.
'difficult' becomes 'hard' (synonyms).
'to stifle' indicates putting letters inside.
'answer' becomes 'a' (abbreviation eg in Q and A).
'in' is an insertion indicator.
'church' becomes 'CE' (abbreviation for Church of England).
'hard' placed around 'a' is 'harad'.
'harad' going inside 'ce' is 'CHARADE'.
(Other definitions for charade that I've seen before include "Game in which the answer is acted out" , "absurd act" , "He'd a car but it was only empty pretence" , "Had care in the acted riddle" , "Farce - mime" .)