Contract somehow exposes our national church (9)
I believe the answer is:
outsource
'contract somehow' is the definition.
I know nothing about this answer so I cannot judge whether this works.
'exposes our national church' is the wordplay.
'exposes' becomes 'outs' (outing is a kind of exposing).
'national church' becomes 'ce' (abbreviation for Church of England. I am not sure about the 'national' bit.).
'outs'+'our'+'ce'='OUTSOURCE'
Can you help me to learn more?
(Other definitions for outsource that I've seen before include "Place (work) with external contractors" , "Contract with external company" , "Let an external contract for" , "Use contractors" , "Put (work) to an external supplier" .)