The general rules of dating a shy guy are applicable to dating a shy girl as well, here are the things that need to be taken care of if your lady love is shy and you want to bring her beyond her inhibitions.
10. Don't mix shyness with arrogance
When you first start seeing her and try to engage her in a conversation but get small replies, do not confuse it with being rude or arrogant unless she actually snaps at you. People who are shy are generally considered high headed, but that is not the case most of the time. It's just that they take their time opening up and feel vulnerable in exposing themselves to everyone. Don't over analyze the situation.