I disagree with ignoring bites completely. All that does is give the bird the idea you don't mind getting bitten. No way to change behavior if you are going to allow it to happen. The first thing you must do is watch her body language and read it to see the clues that tell you she is going to bite; then you either distract her with something so she forgets about biting or you put her down before she can bite.
Next, you treat her just like her bird family would treat her if she bit them; you let her know you do not like to be bitten with a low key reaction, like saying "No biting. Bad bird": and then you put her down, remove her from your body and ignore her for at least five minutes. Her bird family would have at least threatened to bite her with their beak, maybe even a parent would give her a peck and then they would have flown away from her telling her "If you cannot behave, we do not want to interact with you." Luna has to learn that biting is not acceptable social behavior and it has consequences; if you bite, you do not get to spend time with mom and you do not get attention. If she just flies right back to you and tries to bite again, then next time she bites and you discipline her, put her in her cage for a time out and let her out after the five minute cooling off period.
At first it will seem all you do is tell her she is a bad bird, but she will eventually get the message. If she redoubles her efforts to bite and refuses to get off of you when she does, make sure you carry a towel around with you so that when she has her birdy tantrum you can scoop her up in the towel and place her in her cage to cool down. After she cools down you let her out, greet her with a smile and some kind of compliment and honey thick 'good girl' tones and interact with her until she bites again or gives the sign she is going to bite; then you either distract her from biting or start with the training all over.
For the training to work, you must be consistent. If she bites, she is off of you and away from you; if she behaves she gets whatever attention she wants as long as she wants or until she gets over stimulated and her behavior tells you she is going to bite again.
It is not a difficult discipline program and in no part does it ask you to physically discipline your bird. By covering a bitey bird with a towel, you are protecting yourself from an angry, upset bird so you can remove her safely from your physical person. If you miss your grab for her with the towel, give it one more try and if you miss again, then get up and walk away from her. Her goal is to have you undivided and personal attention on her all the time she is with you. Her punishment for biting is not getting that undivided personal attention. Every bird I have ever used this technique on has come around, even my vampire biter, Hobbs Meyers.
I am currently in the middle of training Boca GCC with this technique and already he is more circumspect about when and if he will bite my neck when he is on my shoulder. I can feel him getting ready to nip my ear or my neck and I tell him "Boca, no bite!" and he will take a step away from my neck, farther out on my shoulder and think about it at least half the time now. He knows if he bites, he gets towelled and removed from my shoulder and put in his cage for a time out. Boca is making slow progress.