It’s not in the Church’s authority. There is no other way to put it. The Church just doesn’t have the authority to rewrite 2000 years of history.
We have some arguments against the ordination of women from Scripture: 1 Cor xiv 34-35, and 1Tim ii 11-12. These are as good as it gets if we have to rely on SS for proofs. We have some arguments from Irenaeus, Hippolytus, Epiphanius, and others.
The main argument, in my mind, is the current teaching Magisterium. The Apostolic Letter of Pope John Paul II, Ordinatio Sacerdotalis, 1994, is the reference.
JP2 says that the Church has no authority whatsoever to confer priestly ordination on women and that this judgment is to be definitively held by all the Church’s faithful.
What he is saying that there is ‘defect’, although we should try to find a better word, which prevents the ordination of women.
JP2 was concerned with the current practice of women ordination in TEC, AC, etc. Such ordinations, he points out, sets up further obstacles to union.
The Church is willing to ordain, or re-ordain (conditionally) converted Episcopal clergymen, even if married, but this is not of the same situation as the ordination of women.
This situation of accepting Anglican convert priests, even though married, takes precedence over the situation of accepting back resigned Catholic priests who have married, and who are anxious to return to the active ministry.
Resigned married priests have not be allowed to return to the active ministry, and probably never will. Ordination of women is really on the same prohibited list.
peace.