The burning question about "homesteading tradwive influencer vs. actual medieval farmwife" wouldn't be about who would win, but what would be the final straw that would make Kathrynn - who got married at 21, doesn't know what a chemical is, and who would have sent her children to school if she had had the chance - finally decide to beat the ever-loving shit out of Kathrynn, who got married at 21, doesn't understand what a chemical is and can't spell for shit, but still thinks she can homeschool her kids.
It wouldn't be over feminist issues. Medieval Kathrynn has no concept of "women's right to vote" - it's not like her husband has the right to vote in government matters either. It would probably be about religion. Medieval Kathrynn has no idea what "catholism" is, but she heard Modern Kathrynn talk shit about the saints and decides to toss aside the goat she was castrating and go "that's it, I'm beating your ass."
I'm pretty sure it would be vaccination, actually. Medieval Kathrynn would find out that there's an easy, safe way to keep the babies from dying of measles/mumps/smallpox and that Modern Kathrynn is CHOOSING TO NOT DO IT and would use the grave marker of her third child who passed from the pox as a bludgeon.