Royal visiting church is after publicity (6)
I believe the answer is:
prince
'royal' is the definition.
(prince is a kind of royal)
'visiting church is after publicity' is the wordplay.
'visiting' becomes 'in' ().
'church' becomes 'ce' (abbreviation for Church of England).
'is after' says to put letters next to each other.
'publicity' becomes 'PR' (public relations).
'in'+'ce'='ince'
'ince' put after 'pr' is 'PRINCE'.
(Other definitions for prince that I've seen before include "Son of a royal house" , "Canadian province" , "See 1" , "Male heir to a throne" , "Possible future titular head" .)