Cattle farm managed by church (5)
I believe the answer is:
ranch
'cattle farm' is the definition.
('ranch' can be a synonym of 'cattle farm')
'managed by church' is the wordplay.
'managed' becomes 'ran' (I've seen this before).
'by' is a charade indicator (letters next to each other).
'church' becomes 'ch' (common abbreviation**).
'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" .)