Houston Texas federal judge dismissed vaccine lawsuit by healthcare workers at Houston Methodist

A head-on attack on the safety of the vaccine by a proposed class action was dismissed on the pleadings (June 2021)

Federal Court Rejects Lawsuit Challenging Texas Hospital's Mandatory Vaccination Policy

The key takeaway here is that, without more data, a lawsuit that simply says “I don’t want the vaccine” against a private employer is probably going nowhere. This case did not even get to the discovery phase - the court threw it out based on the filing document! The legal standard to be applied there is supposed to be “believe everything in the complaint” and then apply the law. There will be appeals no doubt, but this is why understanding the key exemptions available to employees (religious and medical) is so important.