According to Merriam-Webster...
deaf
adjective ?def, dial ?d?f
: not able to hear
: not willing to listen to or consider something
Full Definition of DEAF
1
: lacking or deficient in the sense of hearing
2
: unwilling to hear or listen : not to be persuaded <was overwrought and deaf to reason>
— deaf·ish ?de-fish adjective
— deaf·ly adverb
— deaf·ness noun