One who's not in favour in Byzantium (4)

I believe the answer is:

anti

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'one who's not in favour' is the definition.
I can't tell whether this definition defines the answer.

'in byzantium' is the wordplay.
'in' indicates the answer is hidden within the clue.
'ANTI' is hidden within 'byzantium'.

Can you help me to learn more?

(Other definitions for anti that I've seen before include "Against, informally" , "Not favouring" , "Person opposed" , "Opposed to followers of Hitler" , "Prefix meaning against" .)

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