"Do the honors" is an idiomatic phrase that means to perform a special or important task, such as carving the turkey at a family dinner or presenting an award at a ceremony. Antonyms for this phrase might include "decline the opportunity," "pass the task on to someone else," or "refuse the responsibility." Other phrases that indicate a lack of willingness or ability to take on a task might include "take a backseat," "sit this one out," or "let someone else handle it." Depending on the context, these phrases may be seen as polite or impolite, so it is important to choose an antonym that reflects the speaker's intentions accurately.