Crossword Genius

Having raised temperature, swallow hot drink (3)

Ross

I believe the answer is:

tea

'hot drink' is the definition.
(I know that tea is a type of hot drink)

'having raised temperature swallow' is the wordplay.
I cannot really understand how this works, but
'temperature' could be 't' (abbreviation) and 't' is located in the answer.
The remaining letters 'ea' is a valid word which might be clued in a way I don't see.
This explanation may well be incorrect...

(Other definitions for tea that I've seen before include "Infusion of dried leaves" , "Earl Grey?" , "(Infused) drink; meal" , "A light meal - eat up" , "Beverage; meal" .)

I've seen this clue in The Times.
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