The essence of the Roman Catholic exclusion and diminution of women is likely held primarily to exclude women from priestly ordination and participation as peers in the leadership of the Church and mission of Jesus.
However, the rationale encompasses all women, where ever, whenever, IF that rationale is to be "sustainable" in contemporary world of the reasonably well-educated  and relatively un-controlled thought. That is some "roit big" challenge. Our church tried it and it flopped. With anybody who listened, that is.
In 2004, then Cardinal Joseph Ratzinger, (CDF Prefect) with the approval of then Pope John Paul II released his "Letter to the Bishops of the Catholic Church on the Collaboration of Men and Women In the Church and In the World).  Yes, "....in the church AND IN THE WORLD".  His opening phrase claims credibility to decree for "the world:  "The Church, expert in humanity..."
Summary: All women are to serve men "..in the church and in the world". God made it that way.