My[18f] suitemates [18 - 19f] think I'm bulimic

There's 6 of us including me and we're all freshman in college.it just started, but they're pretty close with each other whereas I'm sort of distant and not truly "one of them". But that's okay because I prefer to have it this way.

Anyway, I have weird ways of trying to lose weight. Like I fast, and eat low calories, and then it makes me binge, so I make myself sick. Anyway, I didn't think they were here today, so I went to throw up, and one of my suite mates heard the noise (it's kind of obvious) and thinks I'm bulimic now. I heard her whispering to my other suite mates and now they're debating on whether to notify the RA...and it's just all really awkward and anxiety-producing because they could bring it up at any moment, and I honestly would not know what to say and would be really embarrassed because throwing up is gross, but yeah.

I'm also sort of weird about eating food with other people because I don't like people watching me eat, so I usually don't go to dinner with them, so they probably think I just don't eat. But I mean, I'm not skinny at all. I'm 5'3 and 117 mostly because I binge...a lot.

I really don't know what to do. And also, I don't know how I should react to them confronting me about this, which I think they might plan to do. I'm really nervous about what might happen and what they might say.

tl;dr: My suite mates will probably confront me about throwing up, and I don't really know what to say/do.

Update: Thanks for all your comments. Sorry I didn't respond to most of them, but I did read them all. I just didn't really know what to say. My suite mates have not talked to me about it yet, but I'm really going to try to change my eating habits and not binge. I do really want to stop binging because that's what prevents me from losing weight. I'm probably not going to go see a counselor because I want to make an honest attempt at breaking this cycle first.

Update2: Actually, I think I'd be okay with talking to a nutritionist but like not talking to a counselor about like emotional problems or anything. I think that's awkward but talking to a nutritionist might be okay.