The phrase "obtrude on" means to impose oneself on others. There are several synonyms for this phrase, including "intrude," "interrupt," "interfere," "butt in," "meddle," and "interlope." These words all convey the idea of being unwanted or unwelcome, and describe situations where someone is barging into a conversation or situation where they are not wanted. It is important to be aware of these synonyms, as they can help one better understand and express the idea of unwelcome imposition in various situations. Whether in personal or professional settings, using these synonyms in the right context can help avoid misunderstandings and unnecessary conflicts.