Present the woman's beginning to expect (4)
I believe the answer is:
here
'present' is the definition.
('here' can be similar in meaning to 'present')
'the woman's beginning to expect' is the wordplay.
'the woman' becomes 'her' (**).
'beginning to' suggests taking the first letters.
The first letter of 'expect' is 'e'.
'her'+'e'='HERE'
(Other definitions for here that I've seen before include "Present - at this point" , "To hand" , "On this spot" , "Present; I say!" , ""___ be dragons" (old map inscription?)" .)