Female with pride loses in running (7)
I believe the answer is:
lioness
'female with pride' is the definition.
(as in a pride of lions)
'loses in running' is the wordplay.
'running' indicates anagramming the letters (the letters run around to different places).
'loses'+'in'='losesin'
'losesin' anagrammed gives 'LIONESS'.
(Other definitions for lioness that I've seen before include "Female carnivore" , "Female pride member" , "Leo's mate" , "Female big cat" , "Wild animal" .)