I've met an extremely cautious girl and I like her but what should I do next (10 points)?

Well when y'all r with a group of friends hanging out and when she waves go talk to her keep it friendly, u don't want to scare her off. Also if u feel in your heart that she likes u then she probably does. Just follow your heart, she could be the one, and if she is the one love her with all your heart and never hurt her.