Broadcast their carol, requiring no response? (10)
I believe the answer is:
rhetorical
'requiring no response?' is the definition.
I can't tell whether this defines the answer.
'broadcast their carol' is the wordplay.
'broadcast' indicates anagramming the letters (letters scattered or cast around).
'their'+'carol'='theircarol'
'theircarol' with letters rearranged gives 'RHETORICAL'.
Can you help me to learn more?
(Other definitions for rhetorical that I've seen before include "Over-elaborate in style" , "manner of speaking" , "using words extravagantly" , "needing no response" , "(Of a question) asked for effect" .)