Make them feel important, always pay attention to the small details and try to remember them.
Listen to everything she says with interest and don’t let anything else distract you.
This applies to both their mental space and their physical space.
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.
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.
Take her to a place where she can be heard, where you can easily have a conversation.
Once you have her one on one, initiate the conversation with light topics, do not start off by asking her about her ex or a dead loved one.
Also shy girls have a hard time saying no, so learn to pick up on the subtle hints for example if you ask her ‘How about we have another round of drinks? I’m not so sure about it’ or ‘I don’t like hangovers’, this definitely means a no, so let it be and don’t force her to do something she isn’t feeling up for.