Call me a bad Catholic, but I disagree on this one. I think women should at least be allowed to be deacons. I go to a Catholic college and I meet a lot of “independent” young women. I met a girl who expressed her deep sadness and frustration at the fact that she can not be a deacon. She wants to serve the Church, but is drawn to the fact that if she became a Methodist or an Episcopalian this would not be a problem…
It would not be a problem because she would not be a priest or a deacon in either.
But, you are approaching the teaching as a matter of function rather than the realization of an ontological change in the ordained priest. IOW, a woman can be a leader, a teacher, a doctor, lawyer; since she can do these functions she must also be able to do the functions of a priest. But a priesthood isn’t a function; the Sacrament of Ordination confers a change of being to the man so that he is now
in persona Christi (in the Person of Christ), Christ the Man.
It is a particularly modern and secular attitude to reduce life to functions and not to see the depths of nature, be it of the creation or of human nature. No surprise if this spills over to the Mysteries of the Church and conflicts with them. When that happens the person can realize the conflict of visions and adjust their own to the divinely revealed one and so be corrected by God’s view of things from one’s own erroneous assumptions and judgments. This is one of the many ways the Church saves us from ourselves. Protestantism, otoh, believes that individual judgment of the Church is superior and ends up in deep error which has inevitable consequences for human life down the road, as the modern functional individualism which destroys communion and ravages nature attests to when the inevitable secularism results and has full sway. Of course, it takes time to see all the consequences. Denial of a deeper level of existence below functions is quite secular.
Your friend and you (by agreeing with her desire) are implying that the Vicars of Christ through the ages have erred and that their successor, the late and beloved John Paul II, because of his insistence that the Church cannot ordain women (or allow contraception, abortion, etc., etc., - pick the complaint), was somehow stuck in a long-ago faded theology that now requires some new revelation by the Holy Spirit to bring the Church into the 21st century (or 22nd, or 23rd, etc., etc.).
Now consider why you don’t some find the reasons given by the Church fitting. When we try to grow in our understanding of this or any other doctrine of the Church, the first and best attitude is humility; this is because a humble mind says, e.g.: “Gee, the Pope gave us a couple of leads on why the Tradition can not be reversed; maybe I should follow those leads and reflect on how they fit with ordination”.