Girls: what do you think of this approach to a shy/introverted girl?

[J.E.S]

As long as you know what you are going to talk about when you approach her, the conversation should flow fine, so yeah. Just don't expect her to keep the conversation going, so make sure to have lots of topics to talk about in mind. Also, as for the Facebook thing, if you do become friends, don't turn to just talking to her online and less in real, because trust me, its not the same and can mean you have nothing to talk to her about in person! Good luck!