Dealing with People mad at me

Currently in a situation where i messed something up and a bunch of other students who i know but aren’t close to got upset with me. It’s completely my fault but i did my best to make it right how I could even if it was too late to do it properly. I just feel like such a hopeless failure. I can’t leave my room bc im afraid one of them might see me. All i think about is them talking about how disrespectful and inconsiderate and terrible i am to each other. I’m imagining it being spread throughout the whole school. I feel like I can never show my face again. It’s been a day and the thoughts won’t stop. They kept me up all night. I never apologized bc i was so busy trying to fix it. I wish i could go back. Not only did i upset everyone i ruined any chance I had at ever befriending these people. I don’t know what to do now but sit in guilt and embarrassment.

How do you handle situations like this? How do you move on after you’ve done what you could? How do you make the thoughts stop?