hmmm and maybe she was making a few assumptions as well: aren't strict muslims not supposed to touch people of the opposite gender? Perhaps, if you're fully veiled, she assumed you wouldn't be comfortable touching male patients, which would of course hinder your job. Or perhaps she though you might not be comfortable talking about certain things with patients, because of how strictly you adhered to muslim tenents: for example, it could be assumed a women who wears niquab and takes her faith so seriously wouldn't be comfortable prescribing birth control for an unmarried woman.

I don't think it's right to say you couldn't do your job, but there are a lot of factors. And as miss mimi alluded, these factors count regardless of which faith it is: I know some born again christians who want to dress certain ways or behave certain ways that wouldn't be acceptable in public work spaces.