I see OP of this thread asking, "why do male cross dressers stand out" and then some responses saying, "they shouldn't, get over yourself."
I don't see how that makes sense. Everything that is awkward could be framed as "it's not, get over yourself."
The cases where it stands out is because of how that person is carrying themselves. If a male-to-female person is walking down the street, I doubt they stand out. I don't think they could even be pointed to as 'obvious male' by most people.
I also don't see how mental makeup enters the picture. In some ways, the discussion is like asking why does a person in shorts and T-shirt stand out from a group of 50 people who are all wearing suit and ties. Not a perfect analogy, but trying to make the point that wearing suit and tie doesn't equate to 'inherently better, mentally.'
I don't think cross dressers are (for sure) inherently awkward, but are akin to whatever it is people are compelled to do on Halloween night, i.e. put on a costume that isn't something they are naturally used to. Like a person wearing a cop's uniform (for Halloween) is likely to stand out from other police officers. Nothing to do with their mental makeup (in terms of possible illnesses), but more like mentally, they aren't carrying themselves in way we've become accustomed to. Some cross dressers will fare better than others in how they carry themselves.
Personally, I very much wish the attitude of "it's inherently wrong to cross dress" was done away with, but until that day, it does come across as awkward in some cases. To me, a prime example is male with a beard that is cross dressing, and is attempting to walk in high heels as if that should be no different than walking in tennis shoes.