Worked out by French religious man holding cue incorrectly (7)
I believe the answer is:
deduced
'worked out' is the definition.
(I've seen this before)
'french religious man holding cue incorrectly' is the wordplay.
'french' becomes 'de' (I can't explain this - if you can you should believe this answer much more).
'religious man' becomes 'DD' (abbreviation for Doctor of Divinity degree).
'holding' is an insertion indicator.
'incorrectly' indicates an anagram (I've seen this in other clues).
'cue' is an anagram of 'uce'.
'dd' placed around 'uce' is 'duced'.
'de'+'duced'='DEDUCED'
'by' is the link.
Can you help me to learn more?
(Other definitions for deduced that I've seen before include "Concluded" , "Inferred" , "Arrived at by reasoning" , "Gathered" , "Came to logical conclusion like Sherlock" .)