Hey guys, I don't know how to proceed with a girl. I asked my friends, but they are divided. I hope you can make the difference.

So the story goes. I saw a girl (one year younger than me), whom I thought was really good looking, at the beginning of last school year, I thought about talking to her, but she already had a boyfriend, so I decided to do nothing.

Fast forward one year, she breaks up with her boyfriend after summer break. I see an opportunity to finally talk to her, but I'm too scared it might be too early, so I wait 2/3 month. I finally talk to her, but it doesn't go as planned. I'm nervous, she sees it, but she is also shy and doesn't know what to say, so leaves without saying anything. Later that day I apologize the behaviour and re-enforce the "want to know her better" part through text message (I realize it was a mistake, but at the time I thought it was the correct thing to do), she still doesn't say anything.

Now 3 months later, no interaction, we only see each other at school. And to make matters worse we don't have any friends in common.

My question is: should I quit and move on or talk to her again and see how it goes?