1 across
Crazy
French
soul,
this
woman
(6)
Crazy French soul, this woman (6)
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The definition is at the end of the clue.
How the clue works
Right, so this woman is your definition — it's the French way of addressing a lady. Start with MAD for "crazy", then tack on AME, which is French for "soul", and the two stuck together give you the answer.