Let's go for the most obvious here. Does she have a ring on her finger?? Byron you better check out that situation first! If she doesn't then there is nothing that says she's "claimed" and you can continue until she says otherwise LOL!
I'm really proud of you for offering her some of your CD's! That was a big step Byron!! YOU WERE BRAVE!!! It was also good that you told her you used to go to the gym every day but work makes you tired. You're letting her in and giving her pieces of your life. Keep doing that, letting her get to know you and hopefully she'll start telling you things about her.
Right now she seems tired and not wanting to be at work so don't feel frustrated if she doesn't open up right away.
Just be your normal silly self and you'll do fine. And if she's taken, it's okay. It's good practice for a girl who isn't taken!