In my part time job, I work in several large major chain grocery stores. I see hundreds of people every day from every walk of life. Rarely do I see a woman walking as you all describe as womanly or girly. They just walk. I se the side to side trundle, the lean against the cart stoop, the shuffle, the swagger, the stroll (with hands flipping at the wrist with each step), the waddle, the slide in heels, the gunfighter (hip forward/hip forward). One of the stores I work has an abundance of younger women who are athletic (gym rats) and they walk like a the men. They walk the way they walk because of the way they learned as children and because of anatomical build (a lot of large hipped women have bad hips or knees because of build and genetics).
Bottom line, if you think your walk is outing you, you've probably got way more tells than you think. I have to work usually in slacks and sleeved top. I see a manly build. Most people don't see "me" at all and those who do address me have (in the vast majority) called me ma'am or miss.
I think attitude and deportment outweigh your walk or your talk or your shoulders/hips.
Said it before, will say it again. Most people have an agenda. YOU are NOT part of that agenda and unless you somehow interfere with that agenda they won't even look twice at you. You do your thing; they do theirs