Aiight, this manga is weird.
The main souce of conflict is: "The MC is too gifted in literally everything and is an immense boon to our country... BUT -- she's too unlady-like! That ruins everything! Fight her on everything until she gives in and acts the way we want her to, like a lady!"
At first that kinda made sense, since, yes, social norms and all.
But the moment a princess proves she's, I don't know, stronger than your knight captains, then you have to start to take her seriously, and abandon all social norms.