Quiet singers always like music, primarily church music (5)
I believe the answer is:
psalm
'church music' is the definition.
(thesaurus)
'quiet singers always like music primarily' is the wordplay.
'quiet' becomes 'p' (music symbol for 'piano').
'primarily' suggests taking the first letters.
The initial letters of 'singers always like music' is 'salm'.
'p'+'salm'='PSALM'
(Other definitions for psalm that I've seen before include "Religious song" , "Devotional hymn or song" , "Lamps for a sacred song" , "Sacred song or hymn" , "OT song" .)