Resolved on this religion (6)
I believe the answer is:
shinto
'religion' is the definition.
(Shinto is an example)
'resolved on this' is the wordplay.
'resolved' indicates anagramming the letters.
'on'+'this'='onthis'
'onthis' is an anagram of 'SHINTO'.
(Other definitions for shinto that I've seen before include "State religion of Japan until 1945" , "Japanese worship" , "Japanese ancestor-worshipping religion" , "Japanese cult" , "Japenese religion revering ancestors" .)