All arguments I have seen for denying ordination to women are bad, starting with "women are inferior to men"

Christ chose only men to be apostles, therefore women cannot be ordained. The logic is the same as "Christ chose only Jews to be apostles, therefore gentiles cannot be ordained".

Christ was incarnated as a man, and the priest must "image Christ", so women cannot be ordained. This is saying that Christ's incarnation as a male human being is more significant than his incarnation as a human. Which is again "men are superior to women"

People would not recognize Christ in a woman priest, which not only is "men are superior" but also "lay people are stupid"

Aquinas used 1 Corinthians 11:15, "A woman's crowning glory is her hair", so the tonsure was improper for women. Weak, and he admits the tonsure is not required for valid ordination.

1 Timothy 3:2, "A bishop must be blameless, the husband of only only one wife", and women cannot have wives. So unmarried men are out as well.