Greek character not in favour of wine from Italy (7)
I believe the answer is:
chianti
'wine from italy' is the definition.
(Chianti is an Italian wine)
'greek character not in favour of' is the wordplay.
'greek character' becomes 'chi' (letter from the Greek alphabet).
'not in favour of' becomes 'anti' (I've seen this before).
'chi'+'anti'='CHIANTI'
(Other definitions for chianti that I've seen before include "Wine produced in Tuscany" , "Popular dry red wine of Tuscany" , "Dry red Italian wine" , "Italian wine variety" , "I can hit for popular Italian wine" .)