EU character not for making EU wine (7)
I believe the answer is:
chianti
'eu wine' is the definition.
(wine produced in Italy in the EU)
'eu character not for' is the wordplay.
'eu character' becomes 'chi' (letter of the Greek alphabet).
'not for' becomes 'anti'.
'chi'+'anti'='CHIANTI'
'making' is the link.
(Other definitions for chianti that I've seen before include "Italian wine - mountain range" , "European wine" , "I can hit for popular Italian wine" , "Dry red Italian wine" , "Tuscan red wine" .)