Told to demolish Conservative minister's home (7)
I believe the answer is:
'home' is the definition.
(rectory is a kind of home)
I cannot understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for rectory that I've seen before include "Ecclesiastical dwelling-house" , "minister's place" , "Vicarage" , "Incumbent's house" , "Clergyman's residence" .)