Administered church, inspiring priest's trust (8)
I believe the answer is:
reliance
'trust' is the definition.
(I know that trust can be written as reliance)
'administered church inspiring priest's' is the wordplay.
'administered' becomes 'ran' (run can mean to administer or control).
'church' becomes 'CE' (abbreviation for Church of England).
'inspiring' means one lot of letters goes inside another.
'priest' becomes 'eli' (biblical figure).
'ran'+'ce'='rance'
'rance' enclosing 'eli' is 'RELIANCE'.
(Other definitions for reliance that I've seen before include "Dependence, trust" , "Banking" , "Trust or confidence" , "Faith" , "Trust - in cereal (anag)" .)