Broadcast rejected everywhere (10)
I believe the answer is:
throughout
'everywhere' is the definition.
(thesaurus)
'broadcast rejected' is the wordplay.
'broadcast' indicates a 'sounds like' (homophone) clue (how the word might sound on the radio or TV).
'rejected' becomes 'threwout'.
'threwout' sounds like 'THROUGHOUT'.
(Other definitions for throughout that I've seen before include "all the time" , "Completely" , "during the entire proceedings" , "from start to finish" , "Everywhere" .)