Thank you for the words of advice. I really appreicate it, and I really like the idea of letting her play in it under supervision. The place where I got mine told the stories of some tiels dying because of loose strings, but they said that the fabric that they used was "garunteed" not to fray. I don't know if they just said that because they wanted me to buy it. I really appreciate all of the advice that you give me on cockatiels, it really helps. Next time that I see her in her birdie bunk, I will most certainly take a pic. (BTW, I have a place to put her birdie bunk, I will take a pic later. She is only in this place under supervision so I think it will work.)
Thanks everyone!