apushatayid:
“Tznius in front of Non Jews”.
I think the title for this thread is wrong.
Does it matter if the person in front of you is a co-religionist or of the same gender? Shivisi hashem linegdi tamid.
I use the following rule of thumb. If I wont do it/dress that way in front of my boss, I sure as heck am not doing it in front of the ribbono shel olam.
Do you take showers in front of the RBS”O? Would you take a shower in front of your boss?
There is an inyun to always be tzanua but different situations call for different levels. Women are allowed to exercise. They are even allowed to dress less tznuis while exercising among woman. The question of the OP is whether this less tznius form of dress is OK in front of non-Jewish men.