I doubt you will be denied. But as they are telling you here, be truthful about it. If you tell the truth and don't present a security problem as far as our national security goes, then it should not be a problem. I had a Q once, a very long time ago, and I had some other bad skeletons in my closet and I told them about it. As long as they know, then they can help you. All you got to do is tell them that if someone came up to you, wanting something, information, files, etc, is to contact security. And they will help you. It takes sometimes up to 2 years to get a Q depending on how much you have moved around, so worse case, you could work for 2 years before getting laid off, cause you couldn't secure the Q.