QUIET- here's a good take on it:
https://www.etymonline.com/word/*kweie-
While Peter is writing to women in particular, I don't think he's
singling them out. The context is within a marriage. I don't think a contentious/arrogant/abusive man is any less irritating than a woman who is such (ask me how I know). And of course, he specifies a mixed marriage (believer and unbeliever).
While it's traditionally accepted that the man be the
head of the marriage (i.e., somebody has to lead, I suppose, where the potential exists for dispute, disagreement and contention), I don't think it's God design that it be to the exclusion of a wife's input/influence on decisions. Remember: woman was taken out of man's
side, not his foot. The old adage
it takes two is pretty accurate; but it only takes
one to stop an argument, because it's virtually impossible to have a one-side conversation
Of course, this would apply in a workplace situation as well. The old saying is 'Nod and smile.' That'll get their blood boiling!
Peter draws contrasts between the inner/outer man (woman, in this case), I suspect, because (unregenerate) women have an inate perception about being beautiful, and that there is an expectation for them to be thus. Paul alludes to this also (below).
Another (situational) passage about women is where Paul gives instruction to women who are, apaprently, disruptive (I Timothy 2:9-12). I'm pretty sure he brings in the idea of women being deceived/in the transgression because he's drawing the contrast between being lawless and lawful (i.e., quiet vs. loud and obnoxious/disruptive). Perhaps it would be just as unacceptable/annoying for men to be so. But in the case of I Timothy, it was women who were behaving as such. And perhaps some women were this way because they didn't understand the grace of God- it's not for licence, but for learning God's ways when submitting to him.
I hope this sheds a little light
Cast out the scorner, and contention shall go out; yea, strife and reproach shall cease. -Proverbs 22:10