May I offer my humble, female view?
Firstly, I disagree with the several remarks about females being mothers, nurturers and prone, when entrusted with priesthood, to lasciviousness.
As a female, i have never been the slightest bit interested in becoming a mother, giving birth or any of the other assigned 'female' attributes. I believe that some 33% of females never become mothers, so to link them perpetually to that role is false.
However, I do feel spiritual calling by Grace. My understanding is that God is Spirit. I do not believe that Spirit is either male or female, as it is not incarnate in a body - Spirit is beyond time, space and issues of gender (although God can definitely be with us, love us and interact with us here in our earthly sojourn). In Genesis, it states that God made us 'in his own image, in the image of God created he him; male and female created he them'. It does not say 'men were made in His likeness and image and females - well, unfortunately, they just happened and were not in his image and besides, they're second-rate in everything'.
Jesus Christ our Lord and Saviour came, as God, into a male body. It is easy for us to confuse the identity of gender of Spirit from this fact.
Why God chose a male incarnation is not for us to ponder, but I cannot imagine that in the contemporary Hebrew society, anything other than a male speaking about such matters would have been taken seriously.
I believe that the Romans were equally dismissive of women.
Obviously, everything in that Incarnation had a definite purpose. Even, for example, that Jesus revealed his risen Self firstly to a female, Mary Magdalene. She it was who was charged by Jesus to 'go to my brethren' to spread the message to others, to preach (if you like) that Christ was risen.
I accept that the Orthodox church considers women in some way to be unworthy of the priesthood as I wholeheartedly accept all its other teachings; however, I do not accept that Jesus also thought this.
I have no ambition to be a priest(ess), but I feel the communion between myself and the Holy Spirit to be of equal import to the communion between the Holy Spirit and any male. I do not believe that God would create me to belittle me, as He is Love.
Interested in feedback, and I hope I have not/am not offending anyone by anything I have written above.
It's an interesting discussion.