Should i send this girl a friend request and what does she think of me?

I met this girl at a concert she was the moderator and i was one of the artists. The following day i happened to meet her again and while ping her my head was straight but she stopped and was like you're the guy who sang the day before and she said that i sang really well and that she enjoyed it. Then i was forced to sing in a karoke and she was in the crowd and she shouted my name GO (my name lol)! Then well i told her whenever her school had any concerts that i'm available and well obviously i had to give her my number. I found out her name and found her on facebook but should i send her a friend request i mean she is so preettyy but i dont wanna seem desperate and well anything else OR SHOULD I SEND A REQUEST? please help thank you soo very much