The woman's no flipping bird! (5)
I believe the answer is:
heron
'bird' is the definition.
(heron is a kind of bird)
'the woman's no flipping' is the wordplay.
'the woman' becomes 'her' (**).
'flipping' shows that the letters should be reversed in order.
'no' backwards is 'on'.
'her'+'on'='HERON'
(Other definitions for heron that I've seen before include "Graceful grey bird with long neck" , "eg Egret" , "Tall wading bird" , "Large fish-eating bird" , "One bird" .)