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The orator’s undoing? (4,6)

Ross

I believe the answer is:

sore throat

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'the orator's undoing?' is the definition.
Although both the answer and definition are singular nouns, I cannot see how they can define each other.

'the orator's undoing?' is the wordplay.
'undoing?' indicates anagramming the letters.
'the'+'orators'='theorators'
'theorators' is an anagram of 'SORE THROAT'.

Can you help me to learn more?

(Another definition for sore throat that I've seen is " Inflammation affecting speech".)

I've seen this clue in The Hindu.
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