I am an Asian female college student. This semester, I'm placed to live with two American female roommates in an apartment suite, so we all have separate bedrooms and share a kitchen and a restroom. I just moved in two days ago, but one of my roommates already started gossiping about me. Here's what's happening
First day (Move-In): I said "hi" and introduced myself to her. Then, I was busy moving in.
Second day: After I met her on the first day, I didn't see her until the second day evening. On the second day's evening, while I was on my way out to grab dinner, I saw her sitting in a kitchen. She seemed to be working on something on her laptop. Since I was in a rush to go outside because it was getting dark and also me not knowing her well, I didn't want to disturb her task. I just left without talking to her. When I came back, I wanted to use the restroom but I couldn't find a way to lock the restroom. I asked her if it was possible to lock it, and she said probably not.
Third day: I was chilling in my own bedroom. Then, she just got back from outside, as I heard someone opening the suite's door. She went to the kitchen and started calling someone (later identified as her mom). Since the wall is very thin and she spoke pretty loud, I could hear what she said (she didn't know I'm in the suite). At first, I didn't pay much attention to what she was talking about, but eventually I realized that she was talking about me. She complained about her roommate (me) for being very bad for not even saying "hi" to her (on my way out on the second day) and only talking to her about the restroom's lock. She emphasized that I'm certainly "not American." (I don't know what she wants to imply for saying that maybe twice) I just sit in my room quietly for maybe an hour listening to her talk about me. Then, I went to the restroom and she saw me. She seemed to change the topic a bit, but once I got back to my bedroom, she continued to complain about me and noted that maybe she spoke so loud that I overheard.
So, after she finished her call, I just went outside to talk to her. I frankly asked her if she was talking about me, but she avoided my question, saying that she was talking with her mom. So, I said I'm sorry that I didn't talk to her or started a conversation because I'm not good at starting talks with someone I don't know. She monotonously said "not a big deal, I hope we can get to know each other better" and just cut off the conversation right there, plugging her earphones and resuming her Netflix.
Honestly, I think it's even ruder to gossip than to not say "hi". I don't understand how not saying "hi" comes out as rudeness according to her standard. Additionally, if she wants to talk and I didn't start the conversation, she could initiate the talk with me instead of making the issue complicated by gossiping. If she did, I would talk. But she never made such an attempt. I tried talking to her frankly but she also just put the chance I gave away.
So, I have options: to stay here or to ask to switch my room (no success guaranteed). Honestly, I wouldn't want to live with someone who gossiped about me from the very first days that we had met and hadn't even become "friends" yet. However, I'm not sure if it's the right way to solve the issue (by escaping from the issue).
How should I deal with this situation? My only goal is to maintain a peace of mind at home throughout this semester.
Extra information 1: I can certainly comfortably speak English in conversations with an accent, but the fluency is good enough to, say, be a tutor.