Not connected with religion (7)
I believe the answer is:
secular
'not connected with religion' is the definition.
(I've seen this before)
This is the entire clue.
(Other definitions for secular that I've seen before include "associated with those who are 21 [LAYMEN]" , "Not involving religion,worldly" , "Non-church" , "Not spiritual" , "Ignoring God" .)