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' (similar in meaning).
'ch'+'aired'='CHAIRED'
'getting' acts as a link.
(Other definitions for chaired that I've seen before include "Led (meeting)" , "Looked after meeting" .)