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Fat girl finishing breakfast, possibly with pudding (4)

Ross

I believe the answer is:

suet

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'with pudding' is the definition.
Although both the answer and definition are singular nouns, I cannot understand how they can define each other.

'fat girl finishing breakfast' is the wordplay.
'fat girl' becomes 'sue' (girl's name. I am not sure about the 'fat' bit.).
'finishing' says to take the final letters (the letter which finishes the word).
The last letter of 'breakfast' is 't'.
'sue'+'t'='SUET'

'possibly' acts as a link.

Can you help me to learn more?

(Other definitions for suet that I've seen before include "Hard animal fat used in cooking" , "Solid fat used in cooking" , "Hard white fat on sheep's kidneys" , "Fat used in foods" , "Edible fat used in cooking" .)

I've seen this clue in the Evening Standard.
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