It sounds like you are stressing after finding out what the real world is like. Sorry that they didn't prepare you for this in nursing school
Until you get to change positions, you need to focus on what you CAN do right now to get you through this. It is probably going to be hard to get a job somewhere else right now because they may not have any more orientations for new grads until the next group graduates. Most education budgets are too small to allow ongoing orientation for new grads if they try to give you a halfway decent orientation. It would be easier for you to stick this place out a year to be able to get another job, since many HR people are shying away from people they perceive as "job hoppers". After you have a year down, it will be easy to simply say you left that job and are looking for another because you want to be closer to home.
Can you make it as a nurse? That is going to be up to you. Sounds like you need to pretend to be a patient right now. Use your nursing process to assess yourself. What are your goals, both personal and professional? What are both the pros and cons of remaining in nursing? Where do you want to be (personally and professionally) in 6 mos, 1 yr, 3 yrs, etc? Will nursing help you achieve those goals? Will this job help you achieve those goals? (Obviously staying at this hospital in a new position will help with finances in the interim so you might need to think of this as you evaluate things. Look at the BIG picture, not just instant gratification though.)
You've had a hard time and your self-esteem and confidence has suffered. If this job had turned out to be fantastic, I suspect you would not be having so many doubts. Unfortunately in the real world, it doesn't work that way. You cannot let yourself be completely defined by your job. As a nurse, you will always be a nurse even off the job, but you cannot let your successes and failures in the course of your career completely control and define how you see yourself as a person.
Once you have experience under your belt, your confidence will improve and possibly your outlook on everything. You've come this far, IMO you should give it some time. Read over your goals, etc. that you have written. It's a lot different when you see things in writing. Pray about it. Things will happen that will help set you on the path you are supposed to be on.
Finding your niche may be challenging but not impossible. Until you have tried many different areas of nursing, you won't be able to say honestly that you hate it. Most people don't hate nursing itself. It's the redundant/ridiculous regulations, the snotty people, the bad employers that go along with nursing that go along with nursing. You have to decide for yourself what your feelings are. Step back, take a deep breath, and get focused. Don't do anything rash until you are in control of your heart and mind. You will find the right path when you open up your heart and use your mind.