The Corinthian text addresses women keeping silent in the church meetings. Perhaps the most obvious point in this passage is that it does not even refer to who is leading the service, but only to those who are in the congregation. The silence of women on such occasions is a carryover from the synagogue, and it was a sign of "reverence" not limitation. Moreover, the culture of the time looked askance at women who spoke in public in ways that could be perceived as disruptive. In extreme cases, their morality would even be called into question.
The point for us in the Corinthian text is that it simply does not address the issue of women in leadership, much less ordination. It is not a text that even applies to the topic in question, because it refers only to what women should do in the audience. Nothing is said of what they may (or may not) do up front.
The passage in 1 Timothy is the second passage cited by those who oppose the ordination of women. At face value, it appears to be an open-and-shut case against women's ordination because Paul says clearly, "I permit no woman to teach or to have authority over a man" (2:12). However, it is wrong to make this a blanket statement, for to do so would cause Paul to contradict himself. He spoke approvingly of women ministering publicly in 1 Corinthians 11:5. He commended Euodia and Synteche for their labor in the gospel (Philippians 4:3), and he held Lois and Eunice in highest honor (2 Timothy 1:5).
So, what does the passage in 1 Timothy really mean if it is not a wholesale prohibition? It appears that what Paul was forbidding was women ministering "independently" — this is, "having authority" over men. The early church was barely thirty years old when Paul wrote this passage, and in some places the congregations were even younger. In that length of time, women had not yet risen to roles of leadership as quickly as men. This was not discrimination or prohibition as much as it was a reference to current reality. So, what Paul resisted was a woman "running ahead" of the development of the church at that time and presuming a role of "authority" not yet universalized in the Body of Christ.
But the seeds of change had been sown, and sown by Paul himself, who was already charting the course for the Christian church, different from Judaism and Greco-Roman culture. He was declaring the shift when he wrote revolutionary words in Galatians 3:28: "There is no longer Jew or Greek, there is no longer slave or free, there is no longer male and female; for all of you are one in Christ Jesus." This is the principle that would revolutionize the church and lay the foundation for the ordination of women. It is against this transformational passage that we ultimately interpret our affirmation.
Commentary: The Ordination of Women – The United Methodist Church