Hi there and
to Talk Budgies!
It's great to have you here with us! I'm glad that Lacy is settling in well
It's important to keep her in her cage for a full two weeks so she is totally used to her environment and begins to see the cage as her home. Additionally, many budgies will behave submissively for the first few days because they are terrified of their new surroundings.
After a few weeks, if you'd like, you can start to let her out of the cage. Since she won't be tame yet, ensure that you're letting her out with plenty of time for her to go back to her cage on her own; having to pick her up or catch her to put her back in will only set you back with trust.
Additionally, once you see a few feathers on the floor of the cage it is likely that she's beginning a moult. Pin feathers generally don't show up until after a few days of dropping feathers. Parrots in general enjoy rubbing their head on perches, etc., so it doesn't necessarily indicate the presence of mites or a moult.
You've come to a great place to learn even more about the best practices for budgie care.
Be sure to read through the forum's many Budgie Articles and "stickies" (threads "stuck" to the top of each subform for easy reference) to stay up to date on all the best practices for caring for budgies. If you have any questions after reading through anything, be sure to ask as we'd love to help!
We look forward to seeing you around the forums, and meeting Lacy, too!