It sounds like she is just a bit nervous about being in a new home. Leaning back and opening her beak is generally a defensive posture.
I hope by now she's been out of her cage. With a tame but frightened bird, leaving her in the cage for too long (days) can be harmful, as she'll learn the cage is safe but still be nervous about everything new outside the cage and may resist coming out more. But it is also good to leave her the cage for a little while so she isn't too overwhelmed and learns to find her food and water and toys.
A good breeder will most likely have trained her to 'step up' and she may have a better idea of what you want if you tell her step up. Keep your hand steady as a perch, even if she moves as if to bite - many birds will test a new perch by poking it or gently biting.


Karen
Chico (conure) and Pippin (budgie)
WI

Eclectus's are unique in behavior. I have raised 2 and still have one. I don't know how to tell someone not to be fearful, but eclectus are very sensitive to your body language. Eclectus also bluff well. They ussually avoid biting or bite lightly, however there are exceptions and I have bled a few times dealing with mine. The best advise and what I used early on with mine(he was 9mo when I got him and kinda agressive) is the forced step up. Pushing against the bird and lifting will cause her to focus on that action and she will step up. You will have to off balance her a little for this to work.It's difficult for them to bite if they are off balance. This is not to be done forceful enough to hurt the bird however. You'll be essentially calling the birds bluff. Will you get bit? Maybe maybe not. once the bird steps up move it away from it's cage, preferably to another room causing the bird to be somewhat distracted and less likely to bite. I own five birds all different species and have raised and tamed seven. Every species is different and if you haven't lived with one the info on the net is just generic. By the way eclectus are not petty birds. They are also fast as lightning. Dont get the bird close to your face until she is comfortable with you. Remember your head is you to them and I got a bloody nose from mine when he didnt want to be put up. He lunged and hit me in the nose with the tip of his beak before I could even react and he was a foot away. They are fast.

I know this post is old. How did you get along with your eclectus?

Eclectus parrots certainly are a unique bird.

You need to give her time to settle & get used to you.

The females can sometimes be a little harder to tame if they weren't hand reared.

You can't force her out of her cage. Give her a little while to settle in & get to know you. Open up her cage & just sit there & talk to her. Eclectus parrots are extremely shy birds to start with so she may just sit & stare for weeks. This is normal. Although she'll sit & stare & appear to do nothing at all, she'll be observing every single thing in your home including everything you do & say. They can take weeks to months to fully come out of their shell.
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Kim
Cricket normal grey male tiel
Eddie RS x SI male eclectus
Squash Female sun conure
http://eclectusparrots.proboards79.com