Good man, though perhaps not initially correct (6)
I believe the answer is:
rector
'good man' is the definition.
'perhaps not initially correct' is the wordplay.
'perhaps' indicates an anagram.
'not initially' means to remove the first letter.
'correct' with its first letter taken away is 'orrect'.
'orrect' with letters rearranged gives 'RECTOR'.
'though' is the link.
(Other definitions for rector that I've seen before include "Head of some colleges" , "Churchman" , "Preacher Man" , "Member of the clergy" , "Vicar" .)