Women have a natural right to ordination, not before the state but before God.  There is no justification for saying likewise that does not involve superstition.  As for affinity, I know quite a few women who prefer to hang out with men, not for sex but for affinity.  There are also men, gay and straight, who prefer the company of women and not for sex.  It is simply what is natural for them. There is not one right or natural way to be any kind of gender, especially when you include affinity and sexual preferences.