You should always have water available, but most cats aren't natural drinkers, so it's good that you are offering wet food. I have one cat that never drinks water, the other occasionally demands it from the tap!
Is she eating the same food she was on before you got her? If not, it might be worth finding out what she was on before so as she has something familiar and then slowly swapping it over to whatever you intend to feed long term, as sometimes a change in diet can cause constipation. As said before though, it could just be down to a change of home and hopefully as she starts to relax a bit more you'll have some poo! It sounds like she is starting to settle in if she's jumping on your bed and licking you!
Let us know how she's doing. What's her name by the way?