When someone or something "intrudes upon" us, it can be an unwelcome arrival that disrupts our peace or personal space. However, there are several other ways to describe this experience. For instance, we can say that something "encroaches," "invades," or "trespasses" upon us. Similarly, we can describe the person or object as "overstepping," "violating," or "interfering" with our boundaries. If something is interrupting our focus or thoughts, we might refer to it as "distracting," "disturbing," or "derailing" us. Ultimately, there are many different words we can use to describe when something or someone "intrudes upon" us, and the right choice will depend on the specific situation and context.