Reportedly correct ceremony (4)
I believe the answer is:
rite
'ceremony' is the definition.
(rite is a kind of ceremony)
'reportedly correct' is the wordplay.
'reportedly' indicates a 'sounds like' (homophone) clue.
'correct' becomes 'right' (right can mean correct).
'right' sounds like 'RITE'.
(Other definitions for rite that I've seen before include "Uncomplaining person" , "Established religious ceremony" , "Religious ritual" , "Solemn ceremony" , "something like mass" .)