So... she asked for an instructor?
I get that access to "the Restricted Section" might take the King's approval, but compared to receiving a title (which is entirely about the revenue and income due the station and duties of a title), and receiving a landed estate (again, that's how you make money in a feudal society), she asked for a thing that you would receive with any other gift?
And then had the audacity to even think "what you do now, bro?! Aww!"
Sure, you don't want a title; fine. I don't get it, but fine; plainly, you've never actually been poor, and you think money is something that automatically happens to you, but... sure; fine; whatever.
But you can receive an instructor at any time for free, so... you're basically just shitting on this guy who is trying his hardest to make good from his son's fuck up.
And "this guy" is a king, in a society where you cannot refuse an audience with royalty.
So....
You're dumb.
Really dumb.
Thank the gods that this is just a silly manga with no rules that connect with common sense or reality; otherwise, you'd be fucked, little miss Yamato nadeshiko...