Nice start, what's with that dickhead prince? and why her "friend" is with him? those are my biggest questions.
Also my protip, when the nobles or someone with an ugly smug face is speaking, ignore it... It's usually something like "bla bla you suck bla bla I'm so superior bla bla " you can easily interpret what they said based on the protagonist's reaction and the good people, I'm saying this because it gets on my nerves but I found out that they're usually never saying anything worth listening and that applies to many similar works.
That aside, I really like the protagonist, even after all that BS she does her best to stay dignified.