No, men are members of the Church (as women are) by virtue of baptism, also a sacrament!
Petitio principii. That’s what you need to establish. Doesn’t baptism initiate the believer into the nuptial mystery as a member of Christ’s bride? Doesn’t reception of the Eucharist renew that mystery? You are simply asserting, without any evidence, that one demands “natural resemblance” and the other doesn’t. It isn’t self-evident from the nature of the respective sacraments at all.
That’s an interesting distinction. But I think, again, it conceals a petitio principii. You are assuming that the physical, natural gender of the incarnate Christ is relevant to His mystical role as the Bridegroom.
But I appreciate the fact that you have articulated a distinction, and I will mull the matter over further.
I am of course quite aware that my own cultural prejudices may be getting in the way. That’s why this is not a matter of conscience for me. There’s a process of reasoning from the intuitive, unquestionable premises that men and women are of equal dignity and that both have been redeemed by Christ (premises which I know are fully shared by the Church) to the conclusion that women are valid subjects for the sacrament of Holy Orders.
Edwin
I don’t know what petitio principii means, but it sounds like an academic term about “principal petition” or something. But I think it is self-evident that Christ’s male incarnation is relevant to him being bridegroom to the point that Paul identified Christ’s sacrifice as the pedigree by which husbands must give of themselves to their wives. I don’t think the Catholic and Orthodox Churches are making baseless assumptions there, especially if one also delve into Paul’s teaching of Christ as the second Adam, etc…
Remember also that the bride of Christ is not only a “mystical” body, but a
corporate body composed of many members, whereas the priest acts in the person of Christ, a specific, incarnate individual. So I, as a male, do not have to embody the entire bride of Christ in myself when baptized, as I am only a part of a larger body. As an individual, I cannot be the entire bride of Christ. The eye cannot say to the ear, I have no need of you. Only together is the body full, not individually.
Let me also posit this thought: in the order of nature, only a feminine body can “contain” a male body, so even if there were a specific female whose natural resemblance the bride of Christ must embody in every baptized individual, the order of nature demonstrates that a woman can “contain” a male, but not the other way around. And that doesn’t make men any less dignified, FYI to lurkers out there…

But having males “in” a female body would be consistent with the unique nature of motherhood and pregnancy.
Staying also with Paul’s notion of a body where the eye cannot say to the ear, I have no need of you, I think we draw from the natural order something about a body with many members. While the Church, the bride, is one body, corporately, the members needn’t be exclusively female. For a female’s body contains a number of “members” that are not exclusively feminine, such as eyes, ears, nose, etc… Thus, I cannot see how a male “member” of the body of Christ would violate the sacramental representation in baptism needed to incorporate one into the mystical body, the bride, of Christ –*which, again, is bride corporately.