Refuse to acknowledge there's a female in the racket (6)
I believe the answer is:
disown
'refuse to acknowledge' is the definition.
(I've seen this before)
'a female in the racket' is the wordplay.
'a female' becomes 'sow' (female pig).
'in' is an insertion indicator.
'the racket' becomes 'din' (I've seen this before).
'sow' put inside 'din' is 'DISOWN'.
'there's' is the link.
(Other definitions for disown that I've seen before include "Refuse to be connected with" , "Deny any connection with" , "Repudiate, cast off" , "Wins do (anag)" , "Disclaim or deny" .)