Woman offering heavenly food, not married (4)
I believe the answer is:
anna
'woman' is the definition.
'heavenly food not married' is the wordplay.
'heavenly food' becomes 'manna' (I've seen this before).
'not' is a deletion indicator.
'married' becomes 'm'.
'manna' with 'm' taken out is 'ANNA'.
'offering' is the link.
(Other definitions for anna that I've seen before include "Miss Karenina" , "Old Indian coin - girl's name" , "Old foreign coin" , "Unit of length" , "Former Indian coin; girl's name" .)