Went out with single religious woman, leaving overwhelmed (5)
I believe the answer is:
dated
'went out with' is the definition.
('date' can be a synonym of 'go out with')
'single religious woman leaving overwhelmed' is the wordplay.
I cannot quite understand how this works, but
'single' could be 'a' and 'a' is found in the answer.
'woman' could be 'ted' and 'ted' is located in the answer.
A single letter 'd' remains which might be clued in a way I don't understand.
This may be the basis of clue (or it may be nonsense).
(Other definitions for dated that I've seen before include "Went steady" , "Outmoded" , "Met socially by arrangement" , "Revealed the age of" , "old > saw" .)