Thank God this doesn't apply to the Catholic Church!

[Sethomas]

Priesthood is a vocation, not a job. Women are allowed to become nuns if they wish to live a consecrated life, and they commonly receive paid positions within Church administration. So, you can argue the theological basis to the men-only-priesthood rule, but it's just as legal as a strip joint in terms of how they allocate their employment.

And at present, they don't discriminate in the least against homosexuals. There's paperwork in the mill arguing whether or not confessed homosexuals can become priests, but again that's a moot point.