The orator’s unfortunate complaint (4,6)

I believe the answer is:

sore throat

'complaint' is the definition.
(sore throat is a kind of disease)

'the orator's unfortunate' is the wordplay.
'unfortunate' indicates anagramming the letters.
'the'+'orators'='theorators'
'theorators' with letters rearranged gives 'SORE THROAT'.

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

I've seen this clue in The Times.

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