When you let go of the guilt and shame about being who you are, the fear will just evaporate. You no longer worry about being "caught", because you realize that you are doing nothing wrong. Yes, I realize that making this cognitive leap can be a tall order, but until you get there, you're going to have a hard time blending, much less passing. Furtive, wide-eyed and nervous is not a good look.
If you can, find a group, or at least another person, to go out with. Depending on where you live, that can be a challenge, it's true, but the support you'll get is worth the search.
