"Me? Arrogant? In which part of my sentence proves that I'm being arrogant?" Nathalia asked.
"Y-you called me a 'no-name girl'!" Since the school that they are in right now is full of names that are known to the public, the girl is annoyed that Nathalia has called her that. All of the people that she surrounds herself knows her and they respect her because of her family background.
The fact that Nathalia has no idea who she is, is hurting her pride.
"Just because of that you're calling me arrogant? But what I said is the truth. I have no idea who you are and I don't want to get to know you. That's just gonna waste my time." Nathalia is so grateful that her mother taught how to act in front of people like that girl in front of her. If she acts like that way she usually does, then she will end up defeated, and that should not happen.