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Slice passed round if a terribly cold dessert (7)

Ross

I believe the answer is:

parfait

I'm a little stuck... Click here to teach me more about this clue!

'cold dessert' is the definition.
'parfait' can be an answer for 'dessert' (parfait is a kind of dessert). I am not certain of the 'cold' bit.

'slice passed round if a terribly' is the wordplay.
'slice' becomes 'part' (I've seen this in another clue).
'passed round' indicates putting letters inside.
'terribly' indicates anagramming the letters.
'if'+'a'='ifa'
'ifa' is an anagram of 'fai'.
'part' enclosing 'fai' is 'PARFAIT'.

Can you help me to learn more?

(Other definitions for parfait that I've seen before include "Rich dessert" , "Escoffier's faultless" , "Rich iced pudding of eggs and cream." , "sweet" , "Fruit and cream dessert" .)

I've seen this clue in The Guardian.
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