Religiously kept house (7)
I believe the answer is:
rectory
'house' is the definition.
(thesaurus)
I can't explain the rest of the clue.
Can you help me to learn more?
(Other definitions for rectory that I've seen before include "Clergyman's house" , "Clergyman's residence" , "Vicar's residence" , "Incumbent's house" , "Accommodation for minister" .)