In Titus 2 Paul is saying to teach the older women (and men) to live in such a way that their lives are “appropriate to sound doctrine”. It is about setting an example with their lives so that no one will malign the word of God. This isn’t about the older women teaching sound doctrine, it is about them living in a way that is congruent with having been taught sound doctrine, and teaching younger women to live this way as well.The reason is that the average man is not offended by what Christian doctrine teaches. And it is those women who are most offended by Christian doctrine, and by the Bible, who are most driven to acquire the credentials that permit them - wrongly - to assume positions that permit them to teach their revised, heretical doctrine that is more to their liking.
All of these things could be taught by atheist older women to younger women with no need to reference (or even know of the existence of) the Bible, if they wanted to teach this behavior. The reason this is hard, and the reason there is a controversy, is women really really want to teach doctrine*, in a way that the average man simply doesn’t and can’t understand. Men aren’t consumed by this burning envy. We don’t sit in church festering “Why can’t it be me up there teaching everyone? Why does it have to be him!”
*The other reason this is so hard is the idea of wives turning to their husbands for instruction (1 Cor 14:35, Eph 5:25-48) is anathema to our modern Christian feminist sensibilities. Setting up separate women’s ministries is the answer to anything but that!
I do not attend any church where women preach from the pulpit. Because, whatever it is, that church is can no longer be reasonably described as a Christian church. Even the sketchiest Pope since the Borgia Pope understands that.