I feel like I was humiliated at work

Okey, so I work in a nursing home as a medication aid, this means that I’m allowed to give medicines to patients and two days ago I got in trouble because I didn’t give a medication, to give more context on the situation, I was covering for someone during the weekend and everything was fine, every time I work in a different hall that I don’t know or I haven’t work in for a while I go by the MAR, so I missed one of the dosages for this anticonvulsant medication for a patient and on Monday she ended up having a seizure 1 min long no injuries, and I know I fuck up but I din’t mean it, honestly I completely forgot because I got distracted helping another patient. Now the week gets here and my boss comes to talk to me and she tells me, what did you do, and I was so confused because I literally just got there, after she explained and scold me (which wasn’t very nice because she was mad) she told me that they wanted to fire me to which I thought well there is nothing I can do so I calm myself and went through my day as normal, but at the end I didn’t go fired, instead the other med aid from the weekend did (I only covered one shift) they only made me sing a paper where it said that I failed to deliver the medicine. Now, today they did a meeting that included the med aids and the nurses, and I knew deep down they were gonna talk about what happened on the weekend, so I try to compose myself and act calm. The meeting starts and they are talking about what happened and also about the weekend med aid that got fired, and why she got fired and I thought well at least she is not going to mention me, it’s nice that she’s being discreet, but then all of the sudden she says, I want to be completely transparent, and she proceeded to tell my name and basically that I fucked up in front of everyone, and like I said I know I messed up but I don’t think that what she did is very nice because I felt like shit and like I was the worst person in the world, she made me fell less I just wanted to leave that room, I know there is no excuse on what I did but men she broke me right there I was so sad and angry because I didn’t think that’s she was going to do that. The way she handled the problem I don’t that’s the way to do it but I don’t know I honestly just wanted to talk or in this case to write about it to take out of my system but also to maybe see im overreacting, because I’ve been feeling bad all day. Thank you.