Hi there and
to the forums
You've been given great advice
You are indeed her flock now, and she's interested in spending time with you.
Just spend time with her in whatever way your comfortable with
Read her books, sing to her, talk to her, etc. while she's in the cage. If you become more comfortable with interacting with her more personally, you can start putting your hand in her cage as far away from her as possible so she gets used to it, etc, and doesn't get spooked. In the end you both will be working to trust each other together
Meanwhile, be sure to have a look through the links provided above by FaeryBee to ensure you're up to date on the very best of budgie care practices!
If you have any questions after reading through everything, be sure to ask as we'd love to help
Cheers, we'd love to meet your little girl soon!