Agent of female player (6)
I believe the answer is:
factor
'agent' is the definition.
(business term for a representative)
'female player' is the wordplay.
'female' becomes 'f' (abbreviation).
'player' becomes 'actor' ('actor' can be a synonym of 'player').
'f'+'actor'='FACTOR'
'of' is the link.
(Other definitions for factor that I've seen before include "Of 15, 3 or 5" , "Circumstance that contributes towards a result" , "something that may affect result" , "Contributory element" , "Seven is one for thirty five" .)