Synonyms for Intrude (same or very similar meaning)
WordNet sense 1 (enter unlawfully on someone's property):
trespassWordNet sense 2 (search or inquire in a meddlesome way):
nose, poke, pry, horn inWordNet sense 3 (enter uninvited):
irruptWordNet sense 4 (thrust oneself in as if by force):
obtrudeFrom the ODE community, based on WordNetadd/edit