Country woman gets into scrap (7)

I believe the answer is:

britain

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'scrap' is the definition.
Although both the answer and definition are singular nouns, I can't see how they can define each other.

'country woman gets into' is the wordplay.
'country woman' becomes 'brita' (I am not sure about the 'country' bit.).
'gets' is a charade indicator (letters next to each other).
'into' becomes 'in'.
'brita'+'in'='BRITAIN'

Can you help me to learn more?

(Other definitions for britain that I've seen before include "Island north of France" , "State" , "Where we live - Great!" , "Main UK island" , "Monarchy" .)

I've seen this clue in The Irish Times.

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