Presided over getting the church ventilated (7)
I believe the answer is:
chaired
'presided over' is the definition.
(I've seen this in another clue)
'the church ventilated' is the wordplay.
'the church' becomes 'ch' (common abbreviation).
'ventilated' becomes 'aired' ('air' can be a synonym of 'ventilate').
'ch'+'aired'='CHAIRED'
'getting' acts as a link.
(Other definitions for chaired that I've seen before include "Led (meeting)" , "Looked after meeting" .)