Fate affected Greek export (4)
I believe the answer is:
feta
'greek export' is the definition.
'fate affected' is the wordplay.
'affected' indicates an anagram.
'fate' anagrammed gives 'FETA'.
(Other definitions for feta that I've seen before include "Salty goat or sheep milk cheese" , "Soft Greek cheese" , "Crumbly Greek cheese" , "Greek cheese from goat or sheep milk" , "Salty Greek cheese" .)