Benefit sheltering theologian in breeze (6)
I believe the answer is:
doddle
'breeze' is the definition.
(I know that doddle is a type of breeze)
'benefit sheltering theologian' is the wordplay.
'benefit' becomes 'dole' (informal term for a state benefits).
'sheltering' is an insertion indicator.
'theologian' becomes 'DD' (Doctor of Divinity degree).
'dole' enclosing 'dd' is 'DODDLE'.
'in' is the link.
(Other definitions for doddle that I've seen before include "pushover" , "Easy crossword?" , "Snip" , "Something easily done" , "Piece of cake" .)