You can still makeup yourself with contact lenses. Since the contact lenses need put into eyes, they won't change your outlook. So, you can makeup yourself as usual. But you shall remember that wearing contact lenses first before you makeup your eyes. Then, you can use eye liner and mascara as well as shadows.
Well, I quite understand your anxiety over this matter. As far as I know, you should try to get your hands clean and make sure your contact lenses are well taken care of, then try to put in your contact lenses before you make up your eyes. Because this could lower the risk of infecting your eyes , for eye makeups may result in infections or red eyes. Maybe you should close your eyes when you are going to make up your eyes after putting in your lenses. Just try to be careful.