Female rider that jockeys avidly goad (4,6)
I believe the answer is:
lady godiva
'female rider' is the definition.
'jockeys avidly goad' is the wordplay.
'jockeys' indicates an anagram.
'avidly'+'goad'='avidlygoad'
'avidlygoad' anagrammed gives 'LADY GODIVA'.
'that' acts as a link.
(Other definitions for lady godiva that I've seen before include "Wife of Leofric, an early streaker!" , "romantic comedy film" , "Tom peeped at her" , "She rode bareback (and bare front!)" , "Naked rider through Coventry" .)