Crossword Genius

Greek character leaves wine, being not in favour (4)

Ross

I believe the answer is:

anti

'not in favour' is the definition.
(I've seen this before)

'greek character leaves wine' is the wordplay.
I cannot really understand how this works, but
'character' could be 't' and 't' is present in the answer.
The remaining letters 'ani' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...

'being' acts as a link.

(Other definitions for anti that I've seen before include "on the other side" , "Prefix meaning against" , "one opposing?" , "Person opposed" , "Not favouring" .)

I've seen this clue in The Times.
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