I picked up two things in your post; she said to take it slow and she is the one who likes to pursue. I also picked up that she is a flirt and jumped ahead to saying she is your girlfriend.
The girlfriend part is a mixed message I think that maybe you should read as she thinks there might be potential for that. I think I would just flirt and let her make a move. Maybe your move on her was distasteful to her and moving too fast. I don't like people making a move on me. I am the move maker... if someone makes a move on me I see is as invading my boundaries and going a pace that is more quick than I like. It sounds like she might be like that... I don't know for sure, you'd have to ask her.
It sounds like a whole lot more communication needs to happen and perhaps more time.
Anyone want to be friends on Facebook?
Send me your name via PM