Damn. ☹️

Much as I wish I could tell you you'd be in the right for correcting people (because i KNOW how that sucks), if they wanna be an a**hole and make up something just because you're trying to be you, if you management doesn't support you, they might not take your side.

Yeah i live in Oklahoma, so similar stuff applies. Good news is that while state law says that, starbucks policy is very different. I would suggest speaking with your SM, if you trust them, about solutions. Often times, doing a “barista pick” of the week, using a chalk board to showcase your favorite coffees, hobbies and reiterating your pronouns might help regulars to view you as a person instead of a coffee robot. That in turn can be infinitely helpful to mitigate being misgendered. Honestly when your regulars have it down, there’s a good chance passer-throughs will get it down too.
If you dont trust your sm enough to help, call the transgender advocate through prsc, and they might be able to help with solutions.