Female in a story exuding warmth (7)
I believe the answer is:
affable
'exuding warmth' is the definition.
'female in a story' is the wordplay.
'female' becomes 'f' (abbreviation).
'in' is an insertion indicator.
'story' becomes 'fable' (fable is a kind of story).
'a'+'fable'='afable'
'f' inserted into 'afable' is 'AFFABLE'.
(Other definitions for affable that I've seen before include "Pleasant and friendly in manner" , "Kind and friendly" , "Showing friendly warmth" , "Amiable, genial" , "Pleasant to talk to" .)