The woman's a goddess (4)
I believe the answer is:
hera
'goddess' is the definition.
(thesaurus)
'the woman's a' is the wordplay.
'the woman' becomes 'her' (**).
'her'+'a'='HERA'
(Other definitions for hera that I've seen before include "Regularly-deceived wife" , "Divine consort" , "Greek equivalent of Juno" , "Queen whose Roman counterpart was Juno" , "marriage goddess" .)