Congratulations on getting your first budgie ever!
Your Lucina is a cutie! In order to make her feel more comfortable, safe and at ease, you can also cover 3 sides of the cage with a sheet/cloth and leave the front part uncovered. Having some background noise is also good, you can turn the television or radio on for her.
Best of luck with your Lucina!
EDIT: Oops, looks like Pete beat me to it!