rich girl absolutely has a thing for liane and is very mad to be denied something for the first time in her life
Take the goggles off, dude....
I mean, it seems super obvious to me, notice how she only takes off her dress code cape around lilane then immediately puts it back on when away from her? She only acts that way in front of lilane, And that's just a small clue, this entire series she has been messing with her and going out of her to see her, she clearly wants her attention.
She hasn't been rude to anyone else in the series, you might view her telling the butler to wait rude, but to me what she said was just "I'm tired, can you tell me this later?" No ill-intent was implied at all.
Might just be her being a prick, but there's a good chance of her being into lilane.