A little detail I like here is that their respective friends/group appear to be (at least somewhat) aware of how much of nerds their bosses are since we see them discussing the events in the first chapter.
I know she didn't get all of the crazy ladies memories but it seems odd that she did know the villainess's name or overall appearance.
Also I am guessing that when she cut herself she realized her blood can imbue string like her hair did?
I strongly believe that MC will lose the fight but his opponent now really wants to change the duel conditions and keep him for himself, likely making a fool of himself in the process. Aka, MC loses the battle but wins the war.
MC will then be "sent" to the weird southern noble whose place...