Alleviating hurt via tea and pill (10)

I believe the answer is:

palliative

'alleviating' is the definition.
(thesaurus)

'hurt via tea and pill' is the wordplay.
'hurt' indicates anagramming the letters.
'and' says to put letters next to each other.
'via'+'tea'='viatea'
'viatea' after 'pill' is 'pillviatea'.
'pillviatea' anagrammed gives 'PALLIATIVE'.

(Another definition for palliative that I've seen is " Pain-relieving - a vital pile (anag)".)

I've seen this clue in The Telegraph.

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