Shires may give these votes against broadcast (6)
I believe the answer is:
neighs
'shires may give these' is the definition.
(shire is a type of horse)
'votes against broadcast' is the wordplay.
'votes against' becomes 'nays' (as opposed to 'ayes').
'broadcast' indicates a 'sounds like' (homophone) clue (how the word might sound on the radio or TV).
'nays' sounds like 'NEIGHS'.
(Other definitions for neighs that I've seen before include "Makes whinnying sound like horse" , "Makes noises like a horse" , "beastly sounds" , "Sounds made by a horse" , "Makes noise like horse" .)