The medical boards can deny a license to anyone, if they want.
However, I think they are really unlikely to do so given that you already successfully completed another residency. Just don't lie about what happened on any medical licensure applications, and you will likely be fine. At most, they might put you on some sort of probationary license at first, but from the couple of people I know who had situations like this, nothing like that was done. I know one person who did 1 year of internship in one specialty, didn't like it (and they didn't like her) and her contract was not renewed. She then went somewhere else, did well and completed residency, and got a medical license with no problem.
It never hurts to get an attorney's involvement, particular when you are at the stage of filling out hospital credentialing applications or medical licensure applications and you have any kind of blot on your record. I've never needed to, but I do know of people who have gotten advice from attorneys in these types of situations.
At most, I think the medical board might request you to come before them in person, or might request more information about what happened. If you already submitted your application for licensure, maybe you should just wait and see what happens...if any problems, then consult an attorney.