As somebody explained up thread, the cultural norm at the time was priestesses, although the Jews did not follow that custom.
Anyhow, Christ broke cultural norms all over the place, from healing the sick on the Sabbath and allowing his disciples to pull and eat grain walking through the fields on the Sabbath, to consorting with tax-collectors and the Syro-Phoenician woman and publicans and prostitutes, to calling the Pharisees 'whited sepulchres' and driving the money changers out of the Temple.
Christ had no hesitance defying the culture, and if he had wanted to call women to the priesthood, he would have. After all, his blessed mother and Mary Magdalene were right there and the obvious choices, had he intended such.
And think about this: the priest on the altar stands in the place of Christ - "alter Christus" - and offers the sacrifice for his bride, the Church. A female cannot be the spouse of the Church, Christ's bride. It's not that it's forbidden -- it's ontologically impossible.
We disagree on that point and on several others that I do not consider central. We agree on the vast majority of questions and as far as I can tell on all the questions I consider central to Christ's work. That's a good place to leave this discussion.