Not this dear French stateswoman (8)
I believe the answer is:
thatcher
'stateswoman' is the definition.
(Margaret Thatcher)
'not this dear french' is the wordplay.
'not this' becomes 'that' (I've seen this in another clue).
'dear french' becomes 'cher' (French term of affection).
'that'+'cher'='THATCHER'
(Other definitions for thatcher that I've seen before include "Former British PM" , "who created Boris's hairstyle?" , "Worker on ladder" , "Roofer and Prime Minister" , "Old style roofing worker" .)