Rector has upset a big band (9)
I believe the answer is:
orchestra
'a big band' is the definition.
'rector has upset' is the wordplay.
'upset' indicates anagramming the letters.
'rector'+'has'='rectorhas'
'rectorhas' with letters rearranged gives 'ORCHESTRA'.
(Other definitions for orchestra that I've seen before include "Noted performers" , "Carthorse (anag)" , "players in pit" , "Eg, LSO, RPO" , "those who provide the music" .)