Refusing to listen (4)
I believe the answer is:
deaf
'refusing to listen' is the definition.
(I've seen this in another clue)
This is all the clue.
(Other definitions for deaf that I've seen before include "Aurally challenged" , "Unable to hear" , "Hard of hearing" , "Deprived of the sense of hearing" , "Refusing to hear (entreaty)" .)