The not pooping isnāt surprising. Itās good sheās getting some nutrients from the cat milk, even if it isnāt very much.
Take her to the shelter vet. Theyāll be able to give her any nutrients and fluids she needs.
Sheās probably just stressed out, nothing super wrong with her. This is how cats can react when they undergo a sudden change. Some ideas that might make things easier for her:
Confine her to one quiet room for a few days. Sheāll let you know when sheās ready to move further. At the shelter, she likely had a small cage she stayed in and that she was very familiar with. Suddenly having your whole home to herself is great, but also terrifying. Let her get used to it one room at a time.
If there is a towel, a pillow, a cushion, anything from the shelter that smells like the shelter, ask if you can bring it home for her. Cats rely heavily on their sense of smell to know things are okay and familiar. This could do a lot to soothe her.
Try a cat pheromone spray like Feliway. It mimics the pheromones that cats use to mark a place as safe and good. Especially since sheās coming from a shelter, where she was around other cats, this might help her adjust. Not all cats like this - my rescue cat loves it, but my kitten I got from a family hates it - so try spraying it on a towel or blanket first and see how she reacts.
Again, try to give her the same food she got at the shelter. Whatever you can make familiar for her is good. Fancy Feast wet food is also like kitty crack, so this is something else to try. Itās not too bad nutritionally, either.
Give her ācavesā to hide in. Boxes, bags, anything like that. Donāt bother her while sheās in there, but try hanging out in the same room with her and ignoring her. Donāt pet, make eye contact, just go about your business and talk to yourself quietly out loud.
Good luck!