Approach rotten husband abandoning woman (5)
I believe the answer is:
offer
'approach' is the definition.
(thesaurus)
'rotten husband abandoning woman' is the wordplay.
'rotten' becomes 'off' (I've seen this before).
'husband' becomes 'h'.
'abandoning' is a deletion indicator.
'woman' becomes 'her' (pronoun for a woman).
'her' with 'h' taken out is 'er'.
'off'+'er'='OFFER'
(Other definitions for offer that I've seen before include "Provide; reduced price" , "Volunteer -- proposal" , "Proposition" , "Attempt" , "Pay increase" .)