I screwed up with my crush. Help?

So, there is a girl I really like. I have liked her since around Thanksgiving. The other day, on our band trip, we were at a medieval thing and our guy threw a rose at my friend, and he got it and gave it to me to give to her. Then, afterwards, I went up to her, and told her "Here Georgia (her name), I got this for you." Well, she doesn't respond, and one of her friends asks if she can smell it. I say yes, and she takes it, doesn't even smell it, and NEVER gives it to Georgia (later one of my friends asked her if she liked the rose, and she said "what rose?"). Then, later that night, at Dave & Buster's, and I decided to ask her out. But I screwed up and it sounded like I got bet to ask her out. Of course, she says no. But then I don't give up. The next day, at Six Flags, I never see her except when our school got together to meet. During that time, I would want to talk to her, but couldn't. And later that night, I got stuck in the friend zone. Yesterday, I saw her and said hi, but she ignored me, saying hi to her friend. Today, I saw her on my way back to lunch, talking to her friend, looking prettier than ever. What do I do? Now, I did post this earlier, but I am adding a bit to this. First, I like her more than I've ever liked anyone, and I can't just let her go. And second, she doesn't flat out ignore me, she's not that kind of person. I really want to go out with her, more than anyone I've ever met. I really can't let her go. She is the nicest, prettiest girl in the school to me.