Reply #38: Not really. In the very first "free exercise" case the SCOTUS decided, it held

[No Elephants]

that the freedom to believe is absolute, but the freedom to practice your religion is not absolute. (Therefore, Mormons could be jailed for bigamy.) That holding has never been overruled.

How today's overwhelmingly Catholic AND overwhelmingly pro-government SCOTUS would rule on a hijab in a medical environment is anyone's guess.

We do have a statute that govern exercise of religion in the workplace, though, and that statute requires an employer to make REASONABLE accomodation of an employees religous practices.

What this SCOTUS would consider reasonable in this particular case is also anyone's guess.