The problem with the ordination of women in the LCMS (and WELS, ELS, and other theologically conservative Lutheran Synods) goes to the Synod’s view of the nature and authority of Scripture as the word of God, backed up with their principle of “Sola Scriptura” which rules out interpretations based on considerations of reason, experience, current insights of sociology, psychology, and political “civil rights.”
Since Scripture - all of it - is believed by them to be literally the word of God (they believe in the plenary verbal inspiration of Scripture, and that it is inerrant and infallible in the autographs. The concept of Bultmann and others that Scripture contains “kernels of truth” enclosed in husks of myth," and that the current state of knowledge in the area of reason, experience, the hard sciences, psychology, sociology, and civil rights etc., are "thrown into the shreader "and are never permitted to “trump” the literal reading of Scripture. The LCMS (and other similarly biblically and socially conservative Churches/Synods believe that they simply do not have the authority to over-ride any of Scripture based on the current understanding of “gender equality” and “civil rights.”
The passage, “All Scripture is God-breathed and is useful for teaching, rebuking, correcting and training in righteousness” (2 Tim 3:16) is taken literally as are his prohibitions of women “speaking” and/or "teaching in the Church (1 Corinthians 14:34-36 and 1 Timothy 2:11-13.)
There is also the matter of the larger relationship of men to women according to the “order of creation” in Genesis. As noted above, no one or no thing is understood as being able to “trump” scripture anytime, ever. Ergo no ordinations for women can even be considered in those Churches/Synods, any time, under any circumstances, for any reasons, ever.
In a nutshell, those Churches/Synods believe that when a woman gets up before the church to preach, teach and or lead prayer in groups which include men and boys over a certain age, she is in violation of what God has commanded and in a sense is perverting the worship of God. As a result of her rebellion, God is not worshipped in spirit and in truth. So the worship she leads (except for and among women only) becomes vain or useless because she is following the desires of men instead of what God wants. To ignore what God has said has horrible consequences.
On the other hand, the Evangelical Lutheran Church of America and other liberal Churches/Synods accept the concept of the nature and authority of scripture of Bultmann’s (others of his school and related schools of theology, as well as Contextual Theology/Exegesis.) For them, the Bible is a human book, no more (and no less) inspired than the carefully and prayerfully written works of pastors and theologians. Besides, to those schools of Theology, God is more of a concept (not A being, but "being, itself, or a sort of nebulous “ground of being,” but certainly not a living, self-aware entity from beyond the (evolved) order of space and time.
Therefore the ordination of women is required as a matter of gender equality and civil rights to the degree that it is no longer even up for discussion, period. So the ordination of women is hard-wired into their polity.
I personally know many "evengelical catholic (the Lutheran equivalent of the Anglican term, "high-church) who are highly “Romanized” who would happily convert to Roman Catholicism, but refuse solely because the Catholic Church does not ordain women, and they consider women’s ordination to be mandated by civil rights and a matter of "gender equality.
All of this said, (speaking as former LCMS) while not ordained, LCMS women are absolutely involved “up to their eye teeth” in lay ministries, especially in the areas of Christian Education, Social Services, and Ministries to Women and the Family, etc. Further, the overwhelming majority of LCMS women I have known do not feel discriminated against at all. (The very few who do, seem to eventually leave the LCMS (mostly for the ELCA, the Episcopal Church, or the United Church of Christ.)
(For the record, my own Church (ALCC) also does not ordain women, and never has, but for a different set of reasons: It does not ordain women for exactly the same reasons as the Roman Catholic Church, and cites the pertainent Catholic magisterial documents on this issue on many of our websites. The ALCC teaches that we do not get to change things just because we want to. There is a process to follow: Authorization by a full Ecumenical Council followed by the promulgation of documents by that Ecumenical Council bearing the signature of a Pope. If and when the Catholic Church authorizes the authorization of women’s ordination that way, the ALCC will act in “lock-step” with Rome. In other words, unlike other Lutherans, for us it is a matter of “Roma loquit, casua finis” - “Rome has spoken, case closed.”)
Hope this helps. As usual, please excuse the typos. Proofreading is not my long suit.
Blessings,
Irl