Some twenty years ago, I wrote the following brief comment in the style of Richard Hooker, addressing these questions. I think it still holds up, and so I offer it here, for the first time in the blogosphere:
They say that women may not receive the benefit of the sacrament of order. But how is this; seeing that they may receive the benefit of both of the sacraments ordained by Christ, and may be, as they will admit, the ministers of baptism, which is the prime sacrament of the church’s very being; and seeing that they may alike receive the benefits of the other sacramental rites of the church, in confirmation, penance, matrimony, and unction; wherefore then are they incapable of receiving benefit of this one only sacrament of orders? Is it that they are incapable of receiving this grace, as if they were a material unfit to receive the impress of a seal? What is the grace? and what that receives it? Is there somewhat in male humanity that exists not in the female? Is it not rather that male and female are qualities of the individual person, and not of collective human nature? For humanity as a whole is neither male nor female, but each individual is either one or the other. To say otherwise were an error, since we know that all that is of human nature in woman comes from man, as Eve was taken wholly out of Adam; and further, all that is in human nature resides in woman, for Christ’s humanity came to him wholly by way of his blessed mother, and she could not bestow that which she did not possess: and finally both man and woman come from God as made in God’s image. (1Cor 11.12) So if they say that either humanity or divinity is the form or image that a woman cannot possess, they are mistaken, for she has it both by nature of birth; and further by the grace of baptism whatever of the divine image is marred or obscured in man or woman is restored to its original likeness. Finally, we hold that the grace of the sacraments comes not from the ministers who perform the rites associated thereunto, but from God; and that the lawful performance of a sacramental rite assures us of its validity and of the grace imparted thereby.
Tobias Haller BSG
If you are not familiar with his blog "In a Godward Direction," I commend it to you.