TV award this writer rejected? Goodness! (4)
I believe the answer is:
emmy
'tv award' is the definition.
(I've seen this in another clue)
'writer rejected? goodness' is the wordplay.
'writer' becomes 'me' (the person who wrote the clues).
'rejected?' says the letters should be written backwards.
'goodness' becomes 'my' (both are exclamations of surprise).
'me' reversed gives 'em'.
'em'+'my'='EMMY'
'this' is the link.
(Other definitions for emmy that I've seen before include "award in America" , "US television award" , "Television equivalent of Hollywood's Oscar" , "Least complicated" , "British television award" .)