Is it normal that my girlfriend gets upset at me for getting upset at her?

This is a question among other questions that I started asking myself, is this normal? did I lose connection to reality?

So I was chilling with my girlfriend of 3 years and a buddy of mine at my place, I offered to order food, I suggested a place and started placing the order on my phone, and was slow as it came to my order, because I wanted something good, and it took me maybe not more than 5 minutes, and then they started joking around how slow I was at ordering and so on, at first I was like chilled and joking around with them that I can't get my mind on something.

While taking their orders, and trying to make sure everything is right, also in the meanwhile talking to them when they address me, which makes the task in hand slower. That doesn't stop the rushing and the jokes like :
Come one, why is it taking so long, omg you're slow, and this was all meant as a joke and I understood that, but I confronted my buddy and told him: dude, stop rushing me, I'm doing my best but you're interrupting me and it's starting to become annoying, so shut it for a second and you'll get your food. He got it and stayed quiet.

Not even 20 seconds later, my girlfriend, while being in that room and hearing me announcing my distress and frustration to my buddy, "jokingly", rushes me again and says: oh it's really taking you a long time. That's when I turn around to her and tell her this in these words: can you please stop it because it's slowly starting to get annoying. Right away she gets offended, accuses me of being mean and moody. She got pissed at me, was not understanding of the situation I was in and that there are limits to jokes, and that I had to set that limit because it upset me.

I think teasing stops being funny after the 4th time that someone made that joke, after that it is some sort of bullying. I told her that, and she had no understanding whatsoever. I ended up apologizing for getting pissed off and saying that something annoyed me.

Is it normal for me to get annoyed?
Is it normal for me to tell her in that way that its annoying?
Is it normal that she still thinks she did nothing wrong and that it's my fault?
Am I even real?