Quiet religious leader in Eastern temple (6)
I believe the answer is:
shrine
'temple' is the definition.
(thesaurus)
'quiet religious leader in eastern' is the wordplay.
'quiet' becomes 'sh' (**).
'leader' indicates taking the first letters.
'eastern' becomes 'e'.
The first letter of 'religious' is 'r'.
'sh'+'r'+'in'+'e'='SHRINE'
(Other definitions for shrine that I've seen before include "Container for sacred relics" , "Casket with holy relics" , "here to pray?" , "Sanctuary" , "Pilgrim's destination" .)