Hard woman in charge of Greek (8)
I believe the answer is:
hellenic
'greek' is the definition.
('Hellenic' can be a synonym of 'greek')
'hard woman in charge' is the wordplay.
'hard' becomes 'h'.
'woman' becomes 'ellen' (**).
'in charge' becomes 'ic'.
'h'+'ellen'+'ic'='HELLENIC'
'of' is the link.
(Other definitions for hellenic that I've seen before include "Athens is such" , "Relating to ancient Greece" , "Greek" , "Concerning the culture of ancient Greece, as in chenille" , "Of Greece and Greeks" .)