Priest, perhaps, making well-known person fulminate (9)
I believe the answer is:
celebrant
'priest' is the definition.
(celebrant is a kind of priest)
'well-known person fulminate' is the wordplay.
'well-known person' becomes 'celeb'.
'fulminate' becomes 'rant'.
'celeb'+'rant'='CELEBRANT'
'perhaps making' is the link.
(Other definitions for celebrant that I've seen before include "person performing rite" , "One performing a rite" , "An officiating priest, especially at Eucharist" .)