What happened to freedom of association? She’s an individual, not a large-volume landlord or employer. Their ability to choose whom they contract with was appropriated by the state several decades ago.
What is the next step? Will you be unable to specify the sex or your room-mate, or whether they smoke?
Maybe next, anyone wanting a date will have to accept dates from a diverse, multicultural group of folks of unspecified orientation, chosen for you by the nearest office of the federal government's Fair Dating Association.