A TV screen distorted writer (9)
I believe the answer is:
cervantes
'writer' is the definition.
(Miguel de Cervantes)
'a tv screen distorted' is the wordplay.
'distorted' indicates an anagram.
'a'+'tv'+'screen'='atvscreen'
'atvscreen' is an anagram of 'CERVANTES'.
(Other definitions for cervantes that I've seen before include "Spanish writer" , "Author of the novel 'Don Quixote'" , "Bookmaker" .)