- push out: push to thrust outward
- intrude: thrust oneself in as if by force; "The colors don't intrude on the viewer"
- To proffer (something) by force; to impose (something) on someone or into some area. [from 16th c.]; To become apparent in an unwelcome way, to be forcibly imposed; to jut in, to intrude (on or into). [from 16th c.]; To impose (oneself) on others; to cut in. [from 17th c.]
- (of a thought or a person) to thrust itself (or himself), unwelcome, upon a person's company or attention.