Ways around it

How unfortunate that your first job as a nurse ended like this. You weren't treated fairly at all. Sadly you're not alone. If you live in a right-to-work state there's not a whole lot you can do to mitigate this situation either. Essentially, the "right to work" means that there are few controls on employers other than those clearly spelled out in labour law in that state. They can fire you on a whim, cut back your hours without telling you, reduce your PTO without telling you, pay you less than your coworkers without explanation and all manner of heinous acts. One overarching lesson in this is that you always get everything in writing, you always make copies of everything you exchange with your employer and you understand all the conditions of employment so you know how to act when things aren't to your liking. Typically (in those areas where right-to-work ISN'T in effect) if an employee is still within the probationary period set out by the employer - usually the first 3 months of employment - either party can sever the relationship without having to give reasons or notice and with no repercussions on either side. That's where the "not a good fit" reason for leaving comes in. Being on a do-not-rehire list could be significant to another employer, or it could signify very little, depending on what's already known to the person screening applicants about that employer. Health care is a fairly small world and word gets around when a unit or facility is a particularly horrible work environment... places like the one you left. If you've only been on the job for a short time, you could choose to leave it off your resume completely, since the "experience" you accrued there won't make any real difference to your suitability for other entry-level nursing jobs. Not all workplaces are this bad, but you may find that there are a lot that aren't a great deal better. Maybe you could chat with one of your nursing school clinical instructors about where to apply to ensure you find a good spot next time.

I'm certainly not defending any of the actions of your former employer, but it's v. common for healthcare employers to have a policy of tagging anyone who resigns during orientation as "do not rehire," regardless of whether you gave notice or not. However, plenty of other people have been in your situation and it didn't destroy their careers. Pick yourself up and start thinking about, and practicing, how to talk about this situation in future interviews without badmouthing the (previous) employer. "It wasn't a good fit" is the standard cliche' in nursing. Resist the temptation, in future interviews, however tempting it may be, to start explaining about how badly you were treated and what a poor work environment it was.

As for whether or not to include that position on your resume' and future applications, did you work there long enough to get at least one paycheck? It's up to you whether you make potential employers aware of your time with them, but, if you got paychecks from them, that information could turn up on a background or credit check (and growing numbers of healthcare employers are now doing credit checks as part of the hiring process). Also, nursing tends to be a small "club" and managers at facilities/organizations in the same community tend to be in communication with each other. If an application specifically asks for all your previous employers (or all your previous employers in the last X years), you omit this employer, and someone in nursing or HR at a potential employer happens to find out, one way or another, many (most?) organizations consider that a level of dishonesty that disqualifies you from employment. It would be a shame to miss out on other, better opportunities for that reason, esp. when so many other nurses have found themselves, at one time or another, in the same situation you're in now (and survived :)).

Best wishes for your journey!