Antonyms for the word "sought displace" can vary based on the context in which it is used. If "sought" refers to something that is desired or sought after, then antonyms could include avoided, ignored, or rejected. On the other hand, if "sought" refers to trying to find or obtain something, antonyms could include retained, held onto, or kept. Similarly, antonyms for "displace" can differ depending on the intended meaning. If it means to move or remove something from its place, antonyms could include place, resettle, or locate. Meanwhile, if "displace" is referring to taking the place of something or someone, antonyms could include preserve, maintain, or retain.