I think you're doing a good job keeping an eye on her and starting to learn her signs. Didn't I read that she's just 7 weeks old? She's still such a baby that she doesn't understand yet what you're trying to teach her, but she'll learn. A human baby wouldn't learn to use a potty until they're like 2 years old, much less a month or 2 old. So think of the puppy as a baby who is learning what is expected and needs lots and lots of patience and praise. At this point, if she wees in the house, it's on you, not on her, because she's still learning and cannot hold her urine long anyway. Some of the pups on here have taken until they're 4 or 5 months old to understand they need to go outside, not inside. Playing, excitement, all that will increase the likelihood that they will have an accident inside so what you did with letting her play some inside after she's gone outside is a good strategy.
I'm not sure what you mean by limiting her water intake. My dogs have water at any time of the day, even as puppies, although some people will take up their water an hour or 2 before bedtime. My pups sleep in a crate in my bedroom as puppies so I can hear if they start fussing and need to go outside. They don't get water during the night, but up until bedtime they can drink if the want to.
It's OK to use the crate for a brief time out or for nap time if she seems over excited. Just be calm when putting her in so it doesn't seem like a punishment, you don't want a bad association with the crate. Sometimes my puppies would be acting wild and out of control when they were tired but they were too revved up to know they needed to take a little break.
Sounds like you're doing well for just 2 days!