Fine point in tiny problem about church (6)
I believe the answer is:
nicety
'fine point' is the definition.
(I've seen this in another clue)
'tiny problem about church' is the wordplay.
'problem' indicates an anagram.
'about' is an insertion indicator.
'church' becomes 'CE' (abbreviation for Church of England).
'tiny' is an anagram of 'nity'.
'nity' going around 'ce' is 'NICETY'.
'in' is the link.
(Other definitions for nicety that I've seen before include "Small detail" , "Subtle point of distinction" , "Judge to a . . . . . . - with precision" , "Exactitude" , "Fine distinction" .)