Fan will have supper with Carter (9)

I believe the answer is:

supporter

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'fan' is the definition.
(eg a fan of a football team)

'supper with carter' is the wordplay.
'with' is an insertion indicator.
'carter' becomes 'ort' (I can't explain this - if you can you should believe this answer much more).
'supper' placed around 'ort' is 'SUPPORTER'.

'will have' is the link.

Can you help me to learn more?

(Other definitions for supporter that I've seen before include "Stay" , "Adherent, defender" , "Fan; heraldic figure" , "angel" , "Second" .)

I've seen this clue in the Sydney Morning Herald.

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