Mmm, I dont feel like I am making a statment everytime I go out in public, but still I can see what you are trying to say.
What you have to understand is Arabs in general are social creatures! Everything is done in groups of either families or friends or both, so when someone optes to be alone in public, its a bit hard to digest, you find people judging this person or making exuses for him/her, and that is speaking ingeneral. In the publics mind you are violating their personal space, by showing up alone not the other way round. (add to that the fact that you are a female, and it was late at night) Its a twisted world.