Girl to catch in a bet (7)
I believe the answer is:
annette
'girl' is the definition.
'catch in a bet' is the wordplay.
'catch' becomes 'net' (netting is a kind of catching).
'in' indicates putting letters inside.
'a bet' becomes 'ante' (ante is a kind of bet).
'net' inserted within 'ante' is 'ANNETTE'.
'to' is the link.
(Other definitions for annette that I've seen before include "Name; teen tan (anag.)" , "- - Crosbie (TV)" , "- - Crosbie, actress" , "girl" , "Girl's name" .)