If the guy asks for a Brazilian wax, then this location is never going to be able to provide this service, so explaining why to the customer should not be the issue.
The service that was requested exceeded what the location provided on an average day, so this was explained.
Deciding to still request other waxing services could also not be provided at the time of inquiry because the employee was a Muslim woman who did not wax transgender woman because of religious beliefs. Those were the options and services available to a transgender woman at that location that were explained by the business owner, which is a professional way to address the issue as well in a diverse community.
Overall, I am surprised that this is such an issue and that this customer didn’t have more understanding towards the facility considering they are not a woman. They are a transgender woman who probably still has a penis.
Some women in general feel uncomfortable with this, which is evidenced by the fact that the business does not do Brazilian wax for transgender customers.
Especially when we consider the subject of diversity, we need to respect other people’s boundaries. Too often people seem to equate diversity with using a battering ram on other people’s boundaries.