Oh E., I always love reading your posts, even when you are stressed, because you are the most caring mom!
We got our first rescue dog 6 years ago. Twice abandoned, living in the shelter and so stressed that she had to go to foster care. My husband wasn't ready - was still mourning our last dog who died at 14. So, while your daughter's situation is totally different from ours, I think there is some overlap.
a) Get something familiar - ask the current owners for a blanket or pillow case, or give them a couple of your pillow cases (or new ones, discount price fine) and have them sleep on those pillow cases or hold them on their laps, anything to transfer their scent to the cases. Then put the "scented" pillow cases on your daughter's lap (or yours) or in the crate or on the crate cushion, anything that works. Do not wash them for a few weeks.
Don't expect your daughter to take to the dog. Don't push it. Just love the dog on your own. Our adopted dog finally got on the couch next to me, but when my husband bent over to kiss me, she growled. He got mad and said he didn't want an aggressive dog. Three days later, she jumped up on the couch next to him and put her head on his knee, and it's been a love fest ever since. Let your daughter and the dog bond over time. For now, you can call it YOUR dog if she's hesitant. It doesn't matter what she says/thinks now. It matters where she's at in a month or so.
The adjustment takes time. I slept on the floor next to the crate on the first night after we couldn't stop the whining. Next night, I moved 3 feet away. Next night, 6 feet away. And so on. We went away for a few days for our son's graduation about 6 months into the new "family" and had a dog sitter, but she was never okay after that. She's slept with us ever since. Not ideal but...
Definitely expect regression with things like housebreaking and perhaps food aggression. Invest in some puppy training treats and reward her with every little thing - getting near the door (even if she doesn't think it's to go out), each time she pees outside, every poop, and so on.
We found the best thing was to have a basket on the floor with her toys - that kept her from eating other things she found (pencils, shoes, etc.). In short order, she ignored everything else and just went to her basket for playthings. I'd mix her existing toys and a few new ones.
Keep her dog food consistent at least for now. If you want to switch her to something else, start with 3/4 old food and 1/4 new, then 1/2-1/2, etc.
Since you've had a dog before, you know what your feelings are about being on the furniture or being in certain rooms.
If she can visit with her owners a couple of times, great. Watch them, see how they interact, use their terms for things (e.g. do they say, "Want to go out?" or "Door!"). It will make things easier for you if you can replicate their patterns. How does she play? Does she tug, or does she chase a frisbee/ball? Have them walk with you with the dog on the leash. Gradually take over.
Good luck! I know your daughter is balking at this, but if you downplay it, my guess is she'll fall in love soon!