Bill someone fairly new to the ministry, right? (8)
I believe the answer is:
accurate
'right?' is the definition.
('accurate' is associated in meaning with 'right')
'bill someone fairly new to the ministry' is the wordplay.
'bill' becomes 'ac' (short for account).
'someone fairly new to the ministry' becomes 'curate' (member of the clergy assisting more senior members).
'ac'+'curate'='ACCURATE'
(Other definitions for accurate that I've seen before include "Totally correct" , "not deviating from the truth?" , "strict" , "Bang on" , "Meticulous" .)