Music director refused to allow songs to be heard (10)
I believe the answer is:
bandleader
'music director' is the definition.
(bandleader is a kind of music director)
'refused to allow songs to be heard' is the wordplay.
'refused to allow' becomes 'band' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'songs' becomes 'lieder' (lied is a kind of song).
'to be heard' indicates a 'sounds like' (homophone) clue.
'lieder' sounds like 'leader'.
'band'+'leader'='BANDLEADER'
(Other definitions for bandleader that I've seen before include "Conductor, perhaps" , "Top musician" , "Music director" , "Music supremo" , "He conducted" .)