Live quiz broadcast before Everton’s first game (7)
I believe the answer is:
bezique
'game' is the definition.
(bezique is a kind of game)
'live quiz broadcast before everton's first' is the wordplay.
'live' becomes 'be' ('be' can be a synonym of 'live'**).
'broadcast' indicates anagramming the letters.
'before' says to put letters next to each other.
'first' indicates taking the first letters.
The first letter of 'everton' is 'e'.
'quiz' anagrammed gives 'ziqu'.
'be'+'ziqu'+'e'='BEZIQUE'
(Other definitions for bezique that I've seen before include "Sixty four card game" , "Card game with two packs of cards from seven to ace" , "Card-game" , "Card game, resembles whist" , "Card game resembling whist" .)