Raced over to judge to tell a story (7)
I believe the answer is:
narrate
'tell a story' is the definition.
'raced over to judge' is the wordplay.
'raced' becomes 'ran' ('run' can be a synonym of 'race').
'over' shows that the letters should be reversed in order.
'to judge' becomes 'rate' (rating is a kind of judging).
'ran' backwards is 'nar'.
'nar'+'rate'='NARRATE'
'to' is the link.
(Other definitions for narrate that I've seen before include "Tell story,recount" , "Tell us the story" , "rehearse" , "Report; tell" , "recount events" .)