What to expect with member of family becoming minister (6)
I believe the answer is:
parson
'minister' is the definition.
('parson' can be a synonym of 'minister')
'what to expect with member of family' is the wordplay.
'what to expect' becomes 'par' (as in a phrase like 'that's par for the course').
'with' is a charade indicator (letters next to each other).
'member of family' becomes 'son'.
'par'+'son'='PARSON'
'becoming' acts as a link.
(Other definitions for parson that I've seen before include "One with benefice" , "Aprons (anag.)" , "man of the church" , "service provider" , "Rector; clergyman" .)