She's first in her class, but she's not 'arrogant' about it.
She 'arrogantly' dismissed their claims.
an 'arrogant' remark/attitude
(..) - I guess you did. You're bored. You're bored and you know it. You wouldn't be here if there wasn't something missing. You arrogant son of a bitch! Would you just stay with me? Stay with you? What for? - Look at us, we're already fighting. - Well, that's what we do. We fight. You tell me when I'm being an arrogant son of a bitch and I tell you when you're being a pain in the ass. Which you are % of the time. I'm not afraid (..)2004 The Notebook