How do I handle this? I hate conflicts

I'll keep this short. I got into a fight with my friend the other night. We usually get along fine, but lately she's been very self involved, she seeks a lot of (emotional) attention. I can understand it, she is going through some things at work right now, but like if I come to hang out with a friend, I would like the attention and support to be mutual, not just me listening to her and supporting her every time we meet and her changing the subject back to herself whenever I start to talk about something that happened to me.

Anyway, we were out a couple of days ago, drinking, having fun and we wanted to get into a party, but couldn't because there was too much people in the club and they restricted the entrance. So we went to another place and I was talking to my sister via whatsapp who had the same situation happen to her that evening and we were commenting on that, and I was following up on how everything was going in the club. All of a sudden, this friend of mine starts to yell at me that I should shut up already about that club, make my peace with the fact that we're not going there tonight, how I'm horrible company because I've just been sitting there pouting because we can't get it, why am I always so dramatic... And I told her to chill for a second (and the guy who was with us also said he wasn't feeling any sort of negative energy coming from me or tensions, before she started raging), but she kept yelling at me telling me how I'm always so dramatic, how I always make huge problems in my head when there aren't any and she just kept screaming at me. So I said I can tell she's bothered by me so it's better if I left and I did. Not because I wanted to make her feel better, but because I didn't want to sit there and take that anymore.

Truth be told, I am sometimes frustrated by some problems that I have, but aren't we all? And should a good friend be understanding when you're feeling low and help you feel better, instead of shaming you for being frustrated for something that seems stupid to them?

We haven't talked since, she did try to contact me telling me that we should sit down and talk about it, but I don't even know what she wants to talk about. As far as I'm concerned, she should apologize and that's it. But I have a feeling if we talk, she's gonna try to convince me that I'm dramatic and that my problems are stupid, and I have no intention of apologizing for the way I feel. Ever.

I have never been in a situation like this and I have no idea how to handle this. Everyone is telling me that I did the right thing by walking away but I don't know how to stand up to people, especially people I'm friends with. Am I really being overly dramatic or childish or whatever?