Just do it, but don't do it to perfection, leave something she can give advice on, she will feel she can help you with that, and it leaves something to talk about besides look at me.
And remember, being shy about it is normal, the fear of ridicule, or rejection is scary, but it does not sound like that is going to happen to you. If she is laughing and making fun and not judgemental remarks, that is cute, just keep it light and have fun with it, then maybe you can both get comfortable with it.
Then don't do it to often, and let her get used to Beth, I think she will love her!
Tina B.