Biblically Paul tells Timothy that theologically woman was deceived and applies the same doctrinally with regard to teaching:
1 Tim 2:12 I permit no woman to teach or to have authority over men; she is to keep silent.
13 For Adam was formed first, then Eve;
14 and Adam was not deceived, but the woman was deceived and became a transgressor.
15 Yet woman will be saved through bearing children, if she continues in faith and love and holiness, with modesty.
However that doesn’t mean that Adam was guiltless, after all he consented by going along with her:
Rom 5:17 If, because of one man’s trespass, death reigned through that one man, much more will those who receive the abundance of grace and the free gift of righteousness reign in life through the one man Jesus Christ.
18 then as one man’s trespass led to condemnation for all men, so one man’s act of righteousness leads to acquittal and life for all men.
In his corrections to the Corinthians on orderly worship he ends with this:
1 Cor 14:33 For God is not a God of confusion but of peace.As in all the churches of the saints,
34 the women should keep silence in the churches. For they are not permitted to speak, but should be subordinate, as even the law says.
35 If there is anything they desire to know, let them ask their husbands at home. For it is shameful for a woman to speak in church.
36 What! Did the word of God originate with you, or are you the only ones it has reached?
37 If any one thinks that he is a prophet, or spiritual, he should acknowledge that what I am writing to you is a command of the Lord.
38 If any one does not recognize this, he is not recognized.
So we see in v 37 his corrections aren’t his but a command from the Lord and continues in 38 he writes that basically if one doesn’t agree with these teachings it isn’t him with whom they disagree but God.
As a caveat this only pertains to the priesthood, obviously St. Paul employed them in other capacities such as deaconesses (whose role in the early church was ministering with regard to women and baptism, since one went in the water naked and came out the other side, clothed by a deaconess) and in catechesis as we can see in Acts. They are also not prohibited from tongues or prophesy in worship as we can see at the time. However the liturgical aspects or worship were not allowed, i.e. consecration, teaching etc.
For what it’s worth, there was never such a thing as a woman priest, that’s a modern conception that seems tied closely to the idea of transgenderism. Biblically there were Priests and Priestesses, one denoting male and one female. Priestesses are forbidden in the OT, and in the NT are often referred to with regard to non christian worship.
So they can PC up the verbiage but it doesn’t change what Christ taught Paul and obviously the other apostles. As a follower of Christ the essential question is, whom do we follow, Christ or the modernists? St. Paul says not to recognize them as they do not recognize this is from the Lord. Or put another way preferring their own teachings to His.
Ironically I worked with a Lutheran woman this week (I obviously do not believe she represents Lutherans here) and she said she would never join a church that would not allow woman priests and went on to say (very left wing femenist) she wouldn’t listen even if Christ told her himself and that He would be wrong. (Actual words and conversation, which I dropped, since she had no intention of listening to truth).
She isn’t the only one, look at the women who ordained themselves priests (priestesses) in the church. Whom are they following?
Peace and God Bless