The phrase "do obeisance" means to show respect or homage to someone. Its antonyms could be disrespect, disregard, contempt or neglect. When you disrespect someone, you show a lack of regard for their authority, position or feelings. Disregarding someone means you ignore their presence, opinions or requests. Contempt is showing disgust, disdain or disdainful behavior towards someone. To neglect is to fail to give proper attention or care. In contrast, to show reverence, honor or admiration are some of the synonyms of doing obeisance. Therefore, depending on the context, the antonyms of "do obeisance" can vary, but they all indicate a lack of respect or admiration.