As I write this, I acknowledge that I am really not convinced that this isn't an elaborate and exceptionally entertaining troll post. But let's explore this idea a bit, because even if this is a farce, then someone might take something good out of this conversation.
This is not a case of the hospital always being right and the resident always being wrong. In this specific instance, you ARE in the wrong. Your residency placement is a professional contract. Yes, it is a training program, but it is also effectively a job. And it is definitely a step on your career path. In the real world - within and outside of medicine - an employee has certain professional obligations to their employer. When you are hired to do a job, you go to work when you say you'll go, you dress according to company policy, you show up on time, you do your work while you're there, you respond to emails in a timely fashion, and you treat those around you with respect. If (and frankly when, because no job is perfect and frustrations are frequent in any career) you have concerns about the working conditions, your salary, how you are being managed, etc. you follow a protocol for addressing those concerns. Sometimes you ask for a meeting with your manager, sometimes you raise these problems with HR, sometimes you have to document these problems over time. But you handle them in a reasoned and professional manner. You raise them as is appropriate for your work environment. And if you find yourself at an impasse, then you either resolve to stick it out or you resign.
What you did...or claim you did...is not that. From how you have framed it, it sounds like you wrote an emotional and ill-considered diatribe about all of the things that are wrong about a program you are not even yet a part of, sent it on a wildly irresponsible and ill-advised whim (no one believes your 'accidental sending' story), and have made tremendously poor decisions in the aftermath. Everything that you have done - writing and sending the email (rather than asking for a meeting to discuss these issues in a reasoned fashion), lying about your account being hacked, not responding to the request to meet with you - is incredibly and probably irrevocably unprofessional. In the professional world - the one in which you are not guaranteed 42 days - all of the above would be fireable offences. Not because there is some unremitting hierarchy but because it shows poor judgement, contempt, and frank unreliability.
I managed colleagues for many years. If any one of my team had behaved in the way you have, they would have been referred to HR and likely let go. That's not how residency works in the early days, so you have a shot at redemption. But you had better put that tail between your legs, respond in the affirmative to that meeting request, and prepare to give a sincere mea culpa, or risk losing it all. You have done an absolutely brilliant job of convincing yourself that you are not the problem, but friend, you most definitely are. You plainly need a serious reality check and obviously need to grow up pretty quickly here.
**Having said all of the above, no one is this silly. This is surely a troll and I suppose we should stop feeding it, as much as it pains me. This thread has made me laugh out loud on many occasions. It has, at times, been a work of genius.