If the her "yes to go out with you" and "this is awkward" comments were within a week... I wouldn't exactly call it a break-up. It just seems like she wasn't sure about dating you in the first place. Did she actually say "I don't want to date you anymore?" Because technically you could interprete her "awkward" comment as questioning you relationship as opposed to calling it a break-up. Just have a face-to-face chat with her. Ask her if she rather be your friend or date you. It might be tough (if the answer is to stay friends), but you might as well find out what she truly thinks. Who knows, maybe she feels awkward but deep down wants to try and date you!
P.S. If you have more questions or girl troubles. You should go to the "If you have a question about girls..." thread. There are already 40 pages of similar conversations. I frequent there often to give advice! :D