The Chiastic Structure or Pattern shows a different emphasis in 1 Timothy, one in which proto-gnostic teaching was becoming a problem that must be addressed head on. Timothy was to make sure everyone was properly educated before they were entrusted with being deacons and elders, teachers and leaders within the church.
1 Timothy 2:11-12
The part people often miss is that Paul wanted women in the classroom, learning scripture, theology, Greek and Hebrew, reading and writing, and presumably teaching and evangelizing, right alongside the men.
αὐθεντέω
Excerpts from Cynthia Long Westfall and NT Wright, trying to get a handle on the word translated "Authority" in 1 Timothy 2:12