Rehoin with Erroneous Enlistment?

I don't know, that would be for doctors to determine with a medical board. You can't say there's nothing wrong with your hand AND that you don't have full use of a finger. That's fairly major from a military point of view and especially if you are Security. I wish you luck, but my guess is they wouldn't be telling you this if they weren't certain that it's not going to work out.