"Turn one's nose" means to show contempt or dislike for something. Some antonyms for this phrase could include "embrace with enthusiasm," "show appreciation," "welcome warmly," "accept eagerly," "respond positively," "embrace wholeheartedly," or "show gratitude." These antonyms emphasize a positive reception and appreciation for something, as opposed to the negative connotations of "turn one's nose." By using these antonyms, we can demonstrate a more open-minded and accepting attitude towards new experiences, ideas, and people, which can lead to greater understanding and connection.