Arouse first woman to admit approval (5)
I believe the answer is:
evoke
'arouse' is the definition.
('evoke' can be a synonym of 'arouse')
'first woman to admit approval' is the wordplay.
'first woman' becomes 'eve' (I've seen this before**).
'to admit' indicates putting letters inside.
'approval' becomes 'ok' (OK is an example).
'eve' placed around 'ok' is 'EVOKE'.
(Other definitions for evoke that I've seen before include "Call back (memories)" , "Raise" , "Draw forth (memories)" , "Rekindle" , "bring forth" .)