The thing is, that's a totally unfair analysis of the poor bunny's character.
Team up with Alice, the Hatter, and the Queen of Hearts and you'll find your costumed event feels more wonderful than ever. If you think about it, the White Rabbit was actually completely on top of his affairs, he just seemed a little harried (no pun intended) because he was living in a topsy-turvy dream world. Alice didn't seem to mind the twists and turns of Wonderland but she didn't work for an overbearing queen, did she? Just remember, don't let anyone make you feel rushed, especially that queen.