"Fly in the face e.g." NYT crossword answer is:
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Fly in the face is an idiom that means to go against or ignore something. It is often used to describe someone who is disregarding a rule or tradition. For example, if someone were to wear a bright pink dress to a black tie event, they would be said to be flying in the face of the dress code. It is also used to describe someone who is challenging the status quo or going against the grain.