That woman's clues about hero (8)
I believe the answer is:
hercules
'hero' is the definition.
(I have seen 'Strong hero ' mean 'hercules' so perhaps 'hero' could also mean 'hercules')
'that woman's clues about' is the wordplay.
'that woman' becomes 'her' ('her' refers to a woman).
'about' indicates anagramming the letters.
'clues' with letters rearranged gives 'cules'.
'her'+'cules'='HERCULES'
(Other definitions for hercules that I've seen before include "Northern constellation" , "Strong hero" , "Mythological hero" , "Mythical strongman - he's cruel (anag)" , "Greek hero who carried out 12 labours" .)