@CliantheLang and others,
Yes, you are right. I had only read/remembered the earlier rulings that were against the bakers, but it appears that both the US and NI bakers did win once they appealed to US Supreme Court and U.K. Supreme Court. Thank you.
So, in that case I would think then that there’s precedent for an individual baker or beautician or whatever to refuse service based on personal religious beliefs. I think the business though should at least attempt to assign a different staff member so that the customer still isn’t refused service or goods (unless the customer is clearly in the refuse service category due to abusive behaviour, drink/drugs, undress, etc).
@CovidCorvid
Yes agree touching a customer is different from making goods that you sell to them.
I think then it’s pretty clear that the US and U.K. courts at least do support people who cannot perform parts of their job for religious reasons.