For me, neither covers the other. People usually see (or at least comment; I have no idea what they see) on me being gay first, but the social ineptitude bleeds through before long. I'm not a very queeny guy, but I also have no need to be overly masculine. I just am whatever I am. I don't camp it up, I don't prance around, because those things aren't natural for me. But I also don't watch sports or fix cars or whatever else macho guys do, because those things aren't natural for me, either. People know I'm gay if I talk about my partner, but they wonder about it before that. If I don't mention him, sometimes they ask if I'm gay, so I know they notice it. I don't know what tips them off. But when I misunderstand something they say or show a disinterest or misunderstanding of social rules, they know I'm not quite right. If I have more than a two minute conversation with a stranger, they probably will know I'm gay and 'odd.' If I really queened out, eventually I would still make the same misunderstanding or break a social rule, and people would still see me as odd, so for me, there's no use being anything than what I am already: naturally me, undistilled. That's really the best person for everyone to be (not me, but themselves in their purest form).
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You don't need to hide, my friend, for I am just like you.