Give the cold shoulder say NYT crossword answer is:
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The phrase "give the cold shoulder" is often used to describe someone who is intentionally ignoring or avoiding another person. It can be used to describe a situation where someone is not being given the attention or respect they deserve. The phrase is thought to have originated in the 1800s, when it was common to serve cold food to guests who were not welcome in the home. The New York Times crossword clue for April 4, 2023, is a reference to this phrase, as it asks for a four-letter word meaning "give the cold shoulder".