Alright, lemme get it out of the way...
Me too!
*gasp*
Yeah, obviously this seriously resonates with me a lot, and I don't know why. Actually I know why, so I guess I'll explain why.
It's a projection. Projections are a seriously strong psychological mechanism, like really, oh my god. Here's the problem. I know acutely, when living as a girl, that I am trans. I am extremely aware of that. Unfortunately empathy comes from the top down. I have to project how I think onto people to be able to empathize with how they think. That's why I will just never understand a lot of people. Because they are actually different. They actually think differently and have different prejudices... I mean I'll intellectualize the way they behave, and accept that I can't feel the same, but I won't understand, I won't feel how they feel authentically ever unless I happen to change to be authentically more similar to them.
So when I think about how someone will think about me, I can't unknow the potential of being seen as trans. And because I judge myself as unnatural for being trans, I can't help but fear that they will also judge me for being trans. The outsider. The other. A projection... exactly how I believe I really am in the first place. What I fear other people thinking... really to some extent tells me what I think about myself. That's why homophobes are often bi or gay.
Well, it actually can get better, you can feel more natural. I've definitely come a long way living as a girl even if I struggle with these kinds of fears over pretty much every little thing in my life, way beyond just gender. You ultimately have to change your perception of yourself, though. Either get more used to seeing yourself as being not different from other girls, or get out of the habit of thinking about the fact that you are trans (<---hard one to break obv, and basically leaves you without support for your feelings)... also to have a more positive view of either trans people as a whole, or of your unique self.
It's not easy to change all those things... just gotta go with what you think you can actually change.

You can always become less aware of things... so maybe paying attention to how often you think about being trans, then letting those thoughts go as they come up, making conscious efforts to avoid dwelling on them.
Losing the fear of being known as trans is a big one... that's the whole reason I accepted myself as a boy. I wanted to basically trick my mind with total acceptance of what I am. Well and I mean, I just like the simplicity and naturalness of identifying as a boy, and still being able to say at least some of the time that it doesn't matter. And honestly, it does and has helped quite a lot even though I still present as, to other people, a girl.
Also, having more experiences will make you feel more like other girls, or at least less of an otherness. And it sounds like you're doing that anyway so..
And this is another sort of trick, but, thinking about external things makes you less able to think about and be conscious of yourself. So instead of reacting personally to people, maybe you could judge them a little, lol. :3 Just notice things about them and try to be conscious of when you're comparing or bringing it back on yourself, and again, just nudge your thoughts back to them or to the outside world, to observing and taking in rather than processing and concluding and stuff.
Those are just some things that are helping me personally... I know it aint easy though. :c
*hugs to all suffering from this* :<