Biblical inerrancy can and should be defined as:
“Scripture in the original manuscripts does not affirm anything that is contrary to fact”.
In 1 Timothy 2: 12 the Apostle Paul says:
12 …I do not permit a woman to teach [the Bible to] a man…
If we can agree that the prohibition for a woman to teach is teaching the Bible to adult men, then all we need to know is this; is God not permitting what the Apostle Paul is not permitting. While there are some women and some men that teach that what the Apostle Paul is not permitting is not the same as what God does not permit. In general believers are in two different theological camps with regard to the role, responsibilities (or restrictions) between men and women. I use the words “two different general camps”) because some complimentarians are moving in the direction of egalitarianism. In some cases, some complementarians and egalitarians hold views that have become almost indistinguishable or even blurred.
I happen to be a very conservative evangelical and believe that biblical inerrancy is very important doctrine. But I also believe that sometimes believers need to agree to disagree agreably. This is one of those issues. Although I would leave a church, even a church I really liked if they start allowing adult women to teach adult men the Bible in church related function. This will let you know how I feel about how I believe we should understand 1 Timothy 2: 12. Clearly I believe that what Paul does not permit, God through the Apostle Paul does not permit. If Paul said something like “this is my opinion or position only”, I would reconsider my current views. But he did not do this.
Rather than openly challenge or disagree with someone on this matter “man or woman”) I will only recommend that you read what a particular pastor or leader says about 1 Timothy 2: 12. You can than decide for yourself about what they believe about biblical innerrancy and how that may be related to the role, responsiblties or limitations of women in the church of Jesus Christ. I will conclude with a comment related to 1 Timothy 2: 12 from Chuck Smith Sr. in which Chuck said:
The only thing that is prohibited here is the teaching of men and usurping authority over them in spiritual things. That’s the only thing that was being prohibited here by Paul. He is not prohibiting a woman sharing with men. Paul in writing to the Corinthians mentions the women praying or prophesying in a public assembly and he doesn’t come down on them for that. He doesn’t say that that’s prohibited. And “he that prophesies speaks to the church for edification, for comfort, for exhortation” (I Corinthians 14:3), and I see these as areas where women can minister effectively.