Priest's sermons ignored, somewhat (9)
I believe the answer is:
monsignor
'priest's' is the definition.
(Monsignor is an example)
'sermons ignored somewhat' is the wordplay.
'somewhat' indicates a hidden word.
'MONSIGNOR' is hidden in the letters of 'sermons ignored'.
(Other definitions for monsignor that I've seen before include "What one may call priest" , "Religious title" , "Title of certain Catholic priests and officials" , "Clergyman" , "RC dignitary" .)