Brazil might prove resistant to this ballet? (3,10)

I believe the answer is:

the nutcracker

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

'brazil might prove resistant to this ballet?' is the definition.
'the nutcracker' can be an answer for 'ballet?' (ballet by Tchaikovsky). I'm unsure of the remainder of the definition.

'to this ballet?' is the wordplay.
'to this' becomes 'the' (I can't explain this - if you can you should give a lot more credence to this answer).
'ballet?' becomes 'nutcracker' (I've seen this before).
'the'+'nutcracker'='THE NUTCRACKER'

Can you help me to learn more?

I've seen this clue in The Everyman puzzle in The Observer.

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