Earlier quoted context omitted.
Unfortunately, packing your things and running is basically impossible for most people anywhere close to that situation because borders are enforced and countries will find any excuse possible to avoid granting refugee status. The "you could've slept in a forest, never interacted with anyone, and foraged for plants for survival" kind of excuse that LGBT folks fleeing from countries where they're likely to get murdere…
I think your parent comment is neither here nor there on actually leaving, but rather just using hyperbole to demonstrate that this isn't a problem easily fixed with laws. A food establishment forced to serve you might serve you food that's gone bad, a mechanic might not fully tighten the nuts on your brake pads, or any other variety of horrible things that people could do to harm you while leaving room for plausible…
Depends on how spread out the population is - black folk, maybe (but I don't have a simulation on me to work it out for sure and in what situations that theory might collapse), the subset of trans folk who're still working out how to blend in and not be seen as such in a rural area, not so much.
There's entire countries where some products are just not available commercially due to the lower income meaning nobody wants to put in the effort to work out how to provide them cost-effectively.