In the case of the atheist priest, I would argue that an atheist cannot actually do a priest's job. For example, I doubt that a Christian marriage would be valid if the priest was an atheist. It's like a steak house discriminating against a vegan chef who refuses to touch or cook any meat. That vegan chef just can't do the job in a steak house.

In the case of the atheist priest, I would argue that an atheist cannot actually do a priest's job. For example, I doubt that a Christian marriage would be valid if the priest was an atheist. It's like a steak house discriminating against a vegan chef who refuses to touch or cook any meat. That vegan chef just can't do the job in a steak house.

You might consider some other cases: Can a church owned hospital refuse to hire an atheist doctor? (Since being atheist makes you unable to be a priest in my opinion, but you can be a perfectly fine doctor). Or can a religious school refuse to hire an atheist religious educator? Or an atheist cleaner?