Politely contradicted (6)

I believe the answer is:

rudely

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'politely' is the definition.
Both the answer and definition are adverbs. Maybe they are linked in a way I don't understand?

I don't understand how the rest of the clue works.

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(Other definitions for rudely that I've seen before include "Coarsely" , "In an impolite manner" , "Discourteously" .)

I've seen this clue in the Evening Standard.

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