When should I stop giving her space, and am I doing it right?

From my previous questions, I’ve been asking on how to bring myself back up to who I was prior to her telling me that she wasn’t interested. I pretty much deduced the girl in question wants some time away from me. She hasn’t initiated more than 3 convos online in the past month, she talks to the people around me except me IRL. And when circumstances make it so we have to talk, she prefers to be silent. Some info on her: We used to be really good friends, then I decided to try to really get her attention and show her I loved her - in doing so, I went emo over everything she said, and became really overprotective of her. I would do things for her, and pretty much agreed with everything she said. She didn’t like it in the end, and just told me she has had it, no more relationships until the right time. She says I assume things too much, and her friend told me that the first thing I did wrong was to assume that we were a couple. I made amends, sent her an email apologizing, and asked to speak to her face-to-face, which she turned down. It’s not like I haven’t tried. For the last few weeks, I tried messaging her just once every day, around the same time, just saying hi. In essence, trying to keep things going. Every single time, the convo would just die. I could sense by her replies that she was very annoyed. Before, I could joke around with her, and she would joke back - now I joke, and I get “dot-dot-dot” and all sorts of emotes that express pretty clearly that she isn’t in the mood to be playing around. So, obviously, wrong approach. So for 2 days by now, I’ve stopped messaging her, sending her emails, and I’ve taken steps to ensure that our paths will not meet at school. Yes, I’m giving her the space she needs - many people have told me that even though I may not have moved on, giving her space will allow her to think clearer.

My greatest fear is that she has moved on, and is giving me the cold shoulder. In that case, would giving her space make it worse?

Please offer your advice on what I should do, what I should have done, I want to get through this, and settle this problem before I really do go crazy with the stress I’m handling. I don’t mind if you don’t know how to help - even a word of encouragement would do. Nobody at school will help me - its a personal problem.