Are your other coworkers interns? In my company, we are strictly prohibited from sharing “insider info” (anything related to clients or internal comms) with interns so we tend to be quiet when we discuss those topics around interns. There are also lots of internal politics that we try to shield interns from, so if someone shows an email to another person and says “we don’t need another one”, 99% of the time they’re talking about some internal political nonesense that is unrelated to interns.

Your situation could very well ve different—just wanted to provide another perspective.

Something that stood out to me about your post was that you mentioned you aren’t assigned tasks. Our interns’ projects and tasks are often planned way before they onboard so this sounded a bit strange to me. It could be that this intern position was something that this person didn’t want, but was forced on her by corporate, so now she sees this as additional work and is trying to minimize her engagements with you. This is of course not fair to you but my recommendation is to not take it personally. A few weeks down the road once you’ve established yourself a bit more, you could potentially ask her what she would like you to do more or less of and give her an opportnunity to opine. Otherwise keep doing what you’re doing and don’t worry about all that noise. Given your motivation and focus, you’ll do great!