Way to accommodate church's priest in charge, while remaining unconvinced (7)
I believe the answer is:
sceptic
'while remaining unconvinced' is the definition.
'way to accommodate church's priest in charge' is the wordplay.
'way' becomes 'st' (**).
'to accommodate' means one lot of letters goes inside another.
'church' becomes 'ce' (abbreviation for Church of England).
'priest' becomes 'p' (ecclesiastical abbreviation).
'in charge' becomes 'ic'.
'ce'+'p'='cep'
'st' going around 'cep' is 'scept'.
'scept'+'ic'='SCEPTIC'
(Other definitions for sceptic that I've seen before include "One who doubts accepted opinions" , "Greek philosopher" , "Person who tends to disbelieve" , "Disbeliever" , "One habitually doubts accepted beliefs" .)