Cattle farm managed by church (5)
I believe the answer is:
ranch
'cattle farm' is the definition.
(synonyms)
'managed by church' is the wordplay.
'managed' becomes 'ran' (both can mean organised or was in charge of).
'by' says to put letters next to each other.
'church' becomes 'ch' (abbreviation on maps etc).
'ran'+'ch'='RANCH'
(Other definitions for ranch that I've seen before include "US livestock farm" , "Hacienda" , "stock holding?" , "agricultural land" , "where stock is held" .)