Actually, the more important question is whether you are eligible for licensure once you finish school (that may be part of the school's concern).
Before you spend the time and money on school, it would be a good idea to contact your state Board of Nursing, discuss your situation/record v. directly and honestly with them, provide whatever documentation they need, and get a decision from them about whether they will be willing to license you when you graduate from school. (That may help you with the school, also.)
I am not passing judgment or drawing any conclusions about your situation or your record, but the state BONs exist to protect the
public, and they review each applicant for licensure who has a legal/criminal record on a case-by-case basis to determine that the person does not represent a significant risk to the public. It's not "discrimination," it's their statutory obligation and responsibility.
It is important that you be v. open and honest with the Board; whatever your situation, it will always be much worse if the Board finds out later that you were not completely honest with them -- that, by itself, can be enough to lose your license. State BONs do extensive background checks on people before they license them; many employers do criminal background checks on potential employees (my state
requires it for some types of healthcare facilities), and any time you transfer your license to another state, the new state BON will do criminal background checks on you. Whatever is on your record, large or small, will continue to follow you (as a nurse) as long as its on your record, so you might as well deal with it now. It might be worth talking to an attorney about what you can do to get it cleared up.
Good luck and best wishes with your school plans --
Nursing News