First of all let me assure you that I would be a crappy Queen because I wouldn't want to be one. I'd hate the exposure and the responsability. Even being the Queen of Cups in Alice would be a bore - 'off with their heads!' is not my idea of fun. So if I found myself in that place (forced to it, no doubt) I'd be mad, mad, mad, biting my fingers like that.
And then what would I do? I'm feeling very unimaginative today, so I'd make a law that would make everyone have a pet. Because I was thinking and pets are good for everyone, even for psychos. Pets are great for active people, but also for lazy people. They're great for the quiet but also to the communicative. They're a joy to the loving but also a lesson to the aggressive. And this way there would be no pets in the street. Would this change the world? Probably not but I have no such ambitions!