JimG:
Yes, I believe it would be characterized as an infallible teaching of the ordinary magisterium. But this might be better answered by one of the staff apologists on the “Ask an Apologist” forum.
CONCERNING THE TEACHING CONTAINED IN ORDINATIO SACERDOTALIS RESPONSUM AD DUBIUM
Congregation for the Doctrine of the Faith
October 28, 1995
Dubium: Whether the teaching that the Church has no authority whatsoever to confer priestly ordination on women, which is presented in the Apostolic Letter Ordinatio Sacerdotalis to be held definitively, is to be understood as belonging to the deposit of faith.
Responsum: In the affirmative.
This teaching requires definitive assent, since, founded on the written Word of God, and from the beginning constantly preserved and applied in the Tradition of the Church, it has been set forth infallibly by the ordinary and universal Magisterium (cf. Second Vatican Council, Dogmatic Constitution on the Church Lumen Gentium 25, 2). Thus, in the present circumstances, the Roman Pontiff, exercising his proper office of confirming the brethren (cf. Lk 22:32), has handed on this same teaching by a formal declaration, explicitly stating what is to be held always, everywhere, and by all, as belonging to the deposit of the faith.
The Sovereign Pontiff John Paul II, at the Audience granted to the undersigned Cardinal Prefect, approved this Reply, adopted in the ordinary session of this Congregation, and ordered it to be published.
Rome, from the offices of the Congregation for the Doctrine of the Faith, on the Feast of the Apostles SS. Simon and Jude, October 28, 1995.
Joseph Card. Ratzinger
Prefect
Tarcisio Bertone
Archbishop Emeritus of Vercelli