There are several synonyms for the phrase "turned a deaf ear," which refers to someone ignoring or refusing to listen to something. One synonym is "ignored," which means to deliberately not pay attention to something or someone. Another synonym is "disregarded," which means to pay no attention to something or someone. "Neglected" is another synonym, which suggests a lack of care or attention towards something. "Tuned out" is another phrase that can be used instead of "turned a deaf ear," which means to stop paying attention or interest in something. Lastly, "ignored the plea" is a synonym that specifically refers to ignoring someone's request or pleading.