You are doing really well, she already came out on her own and she is taking treats from you. Keep going, it may take a long time or it may take a short time. Truthfully, all of my birds were (2 lovebirds, 2 white wing parakeets) were very shy and not very affectionate when I got them. One lovebird was found wild, one was a 12 yo rescue, and my two white wings were 1 yo rescues. I would say it took easily a year for real trust and absolutely no biting to occur. None of them like to be handled, but one lovebird would eventually lean against my hand and preen it. The white wings are only finally letting me scratch their heads after TWO years. They will sit on me for hours but until recently, no handling....I waited until they were comfortable then started to move my hands closer and closer until I could touch their head, then kept trying a gentle tap until they let me keep my finger near their head longer. This was more difficult that a single bird bc they are bonded and have each other.
You have to enjoy the relationship AS IT IS and don't insist on more. But work with your bird as if you always expect more and eventually you will have the relationship you want. I found other ways to "play" with my birds, ways they like but not necessarily what I thought they should do...like teaching tricks and sounds instead of handling. Bath time is great....that took over two years, trying once a week, to get them to go under faucet. Now they sit on my hands under the faucet and LOVE it. Continue to pay attention to your bird, go slow, don't get angry, and keep trying gently and a little more each time the bird seems to accept you. Like I said before you have decades to establish a relationship, there is no rush. Enjoy the little victories.
think about them big macaws, they have long tails too. ultimately they all come down to the same thing. Sensitive respiratory system, sensitive digestive tract, stubborn as can be!
