When talking about the phrase "turned one's hand to," which means to attempt or learn a new skill, it's easy to see that there are many potential antonyms to consider. For example, antonyms for "turned one's hand to" could include phrases like "gave up on," "ignored," "dismissed," "neglected," "avoided," or "rejected." These antonyms would all indicate that someone did not attempt to learn a new skill, perhaps because they felt they were not capable or had no interest. However, it's important to remember that some antonyms may be more appropriate in certain contexts than others, and it's always a good idea to carefully consider the tone and meaning of the antonym before using it in a sentence.