It's an interesting argument from Paul. I don't let women teach because Eve was deceived. Huh? Aren't there numerous examples in the Bible of men being deceived? Are all women deceived?
It would seem something else is going on that troubles Paul at the time. After all, in the next letter to Timothy, Paul praises Timothy's grandmother and mother for instilling unfeigned faith in him.
When I call to remembrance the unfeigned faith that is in thee, which dwelt first in thy grandmother Lois, and thy mother Eunice; and I am persuaded that in thee also. 2 Tim 1:5
Why was Eve deceived? At the time, there was no written Bible. The snake asked did God really say? Paul knows there are deceitful men, wolves in sheep's clothing.
But evil men and seducers shall wax worse and worse, deceiving, and being deceived. 2 Time 3:13
What is the solution that Paul is waiting on?
And that from a child thou hast known the holy scriptures, which are able to make thee wise unto salvation through faith which is in Christ Jesus. 2 Tim 3:15
Timothy's women teachers knew the Old Testament and some of the New, but the New was not yet codified, not yet fully written.
All scripture is given by inspiration of God, and is profitable for doctrine, for reproof, for correction, for instruction in righteousness: 2 Tim 3:16
All scripture had not been written. All scripture is profitable for doctrine, reproof, correction, for instruction. Until then, it was important to restrict the sex of the teachers. In Christ, however, there is no male or female. From an instruction point of view, it simply awaited the canonization of Scripture.
So, why do some still believe women should be silent? Perhaps they teach Tradition, the unwritten did God say?