Female, one with extraordinary sense and diplomacy (7)
I believe the answer is:
finesse
'diplomacy' is the definition.
(I know that diplomacy can be written as finesse)
'female one with extraordinary sense' is the wordplay.
'female' becomes 'f' (common abbreviation).
'one' becomes 'i' (Roman numeral).
'with' is a charade indicator (letters next to each other).
'extraordinary' indicates an anagram.
'sense' with letters rearranged gives 'nesse'.
'f'+'i'+'nesse'='FINESSE'
'and' is the link.
(Other definitions for finesse that I've seen before include "Refinement" , "Subtle elegance" , "Skilful elegance or expertise" , "Subtlety in handling difficult situations" , "isky card play" .)