How long should I give my girlfriend space. Please need honest help!?

So basically my girlfriend 2 weeks ago told me to not call, text, email, send her anything or engage any physical contact with her. The reason being is because about 3 weeks ago she broke the news to me out of the blue that she would not be able to take her schooling in my province and would have to take it in another one (about 10 hours driving distance from me). I didn't say much at first just saying it was alright, cause it didn't really hit me. The next day I got upset and when me saw each other she could tell and asked me to try and not be upset about it and not worry about it until the time comes, I even told her I couldn't promise her that. She told me also that she knew this for quite some time, but she led me on to believe that she would be taking her schooling here. So many things were going through my head as to why she would do that and I couldn't think straight. This plus other multiple things going on in my life prior to this in the past couple months made me clinically depressed and I had to go onto medication. So without thinking one morning I sent her an email that I regret and can even go to say it was one of the stupidest things I have ever done in my life, by pushing away someone that I loved and cherished so dearly in my life. I basically said I can't take all this stress anymore, I don't feel loved by anyone or anything and I don't want her to have to deal with me being this way and if she wanted to we could be over. I stated though that I wasn't breaking up, just didn't want her to see me this way. After a few hours I even knew this was a bad idea and tried retracting it, but it was to late. I knew it was ignorant of me cause she just lost her grandmother 2 weeks prior this and she meant the world to her. She emailed me back saying how selfish I was being and that if we were over to never make any contact with her again. I ended up calling her that night and apologized telling her how stupid and selfish I was being and how much I regretted it. She then told me she needed time to deal with all the stress and to give her space and to not make any contact whatsoever with her. It's been 2 weeks now. How long is too long, I mean is there any point in time where I should give up, I want to somehow tell her I'd be there for her anytime in her life regardless of what decision she made about me. However, I feel like this may not be the optimal thing to do. Any help will be appreciated.