Welcome! Parrots are very
different from dogs. They don't instantly trust you or love you-- you have to earn
their love and trust. It takes lots of time and patience, but the results are worth it.
It's always best to move at the parrot's pace and not force interaction. Your parrot doesn't know or trust you yet, so it's natural that she gets scared and upset when you stick your hand in her cage. Imagine if a giant hand suddenly plunged into your house and reached for you-- how would you feel?
Gloves aren't usually recommended since they're even scarier to the parrot.
In the beginning, it works well if you just sit near your parrot's cage and talk softly to her. That helps her get used to you and the sound of your voice. You can read and sing to your parrot too. Tell her how much you love her and how happy you are to have her in your life; they really do understand when you say things like that.
If you'd like her to come out of her cage, try leaving the door open and then let her decide when she's ready to come out. It may take a while, but parrots are much happier when they can make their own choices about such things.
Good luck to you and your QP!