I think you should ask her out,BUT do you really want to start a relationship with this girl at this point and time? If you feel that you are,then I say go for it. The thing is, if you pass all your tests, and do join the military, are you really in a position to try to start a relationship right now? Do you think this girl will be able to handle what is coming up for you, and will she be willing to stand by you and wait for you? There's a lot of things to figure out if you really want to start a relationship with all you have coming up.