Except for Eastern Orthodox nuns who are covered at all times, the only time a woman's hair is covered is during services.

Wow?

As a private institution they are allowed to make whatever rules they want. If they are willing to lose a customer over this rule (which clearly they are) then it must be very important to them. While she has a right to exercise her religion, she does NOT have a right to break the bank's rules while doing so. If she tries to sue I promise that the supreme court will agree with me.

No, they are not. Otherwise, they'd be free to make a rule that they only serve whites or males.

This presents a case of balancing the bank's legitimate need for security with her civil right to practice her religion. I wouldn't be so sure how the courts will view it, especially with just a news story (rather than a developed court record) to go on.

I'm a private entity - I now make a rule that I can murder people. Life is awesome.

Many of our prominent founders actually considered themselves deists. Kind of like agnostic, I guess. Not as strictly religious as people assume the signers of the constitution would be. Totally off topic. The end.