People forget this,
Yes you have personal freedom, however your personal freedom must not get in the way of anyone else's personal freedom. Freedom such as basic human rights to access to services, healthcare, education, sustenance and shelter.
As a service provider, you have a duty to provide services to human beings, not to discriminatiate against people you dont like. Such segregation is how situations like apartheid and Nazi Germany come to be, its a slippery slope to a very dark place.
Just as the bible has no place in scientific education, religious faith based beliefs have no place in the prescription and application of medical science. Unless there is something tangible that can be studied and assessed faith based beliefs and science are irreconcilable.