I'm a GG and also in the tall range for a woman. You're 6'2". I'm 5'9" barefoot, 6' in heels. I'd like to add that tall people also are treated with more respect, regardless of gender. I was successful working in a predominately male line of work precisely because of my height. And like you, I've noticed that when I dress for power (a suit or other signs of wealth such as well-tailored and expensive clothing, jewelry, watch, etc), I also am treated differently than if I am dressed casually or frivolously.
So it's not just the suit ... or the gender. Factors that influence how well people are treated are height, scale of attractiveness (there are studies), and signs of wealth and education.
One thing I don't get. Why would you be able to protect yourself against 2 guys if you were wearing guy jeans but not girl leggings. Aren't your physical strength and fighting skills the same no matter what you wear?