Preliminary ruling from US Gov EEOC is that the only legal way to object to your employer if they require you to get a Covid vaccine is to cite a religious belief.

https://www.foxbusiness.com/economy/eeoc-employees-covid-19-vaccine

sample quote

The EEOC, which enforces employment laws like the Americans with Disabilities Act, said Wednesday that a vaccination does not constitute a "medical examination," which employers are barred from forcing.

Because of this, employers can require workers to get the vaccine, except in specific instances, such as a worker who has a religious belief that prevents them from getting a vaccine.

end quote

There will undoubtably be court ruling on this too.

My brother-in-law and nephew in law got the Pfizer vaccine 1st shot Friday.

Hospice says they will give my 90 year old mother the first shot of the Pfizer vaccine “soon”.