CLC

In the first churches, an overseer was not necessarily more of a teacher than the rest of the congregation. The instructions on speaking turns and teaching in 1 Corinthians 14 make that pretty clear. The overseer merely keeps order in the church so that everyone gets their say without a shouting match starting.

The real teachers of whole congregations were actually the apostles. This could be Paul or Peter; but there was also Apollos and Cephas (1 Corinthians 1:12). But, even more shockingly, especially to the translators who decided to change her to a man, there was Junia (Romans 16:7) mentioned with Andronicus.

Also, the fact that 1 Timothy 3:11 actually translates to “the women”, rather than “their wives” gives indication that there was provision made for, at least, deaconesses, if not female overseers. As is the case today, most women don’t have as much of an interest in managing the church. They are too busy with children and the house to have time or energy for that. Most women don’t even care to have “leadership” positions.
Most likely, the women of that age also had less interest than the men. So you were going to get more male applicants than female. So Paul is writing on the qualifications; and, as he is getting through the qualifications for deacon, he suddenly realizes that he forgot the qualifications for the women. So he throws in that the women are to have the same qualifications and continues on with the rest of the qualifications of a deacon.
There is, at least, provision for deaconesses if not overseers since there is no verse prohibiting women from holding that role, as well. Not even the “silence” verses apply since overseers merely keep order and call on people to stand up to speak.