That would creep me out!! lol. I'd picture her peering in through windows and such haha
I totally understand why some parents would find it hard to trust us. Most of these parents don't know us from a hole in the wall and they are leaving their baby with us. In centres there are other staff to monitor each other and make sure nothing bad is going on....in most hdc's, there is just one staff and that person could be doing only god knows what. I get it, I would find it hard to trust too. HOWEVER, doing what she did is not the way to go about gaining trust!
I ask that parents ring the doorbell before coming in. It's still my house and I want to know when people are in it. I also want to know if I am in the washroom and need to hurry up etc. However, there are a few times that a parent will come in and not ring the doorbell. NOw it could be they just forgot but I would think for some it is their way of "sneaking in" and seeing what I'm up to when I think no one is watching. It doesn't bother me if it's a rare occurrence. Now if they do it all the time, I remind them to ring the doorbell because I do find it rude but I don't find it offensive if that makes sense?
I've had a few parents like this one (but not to this extent!!lol) and they eventually calm down once they trust me and know that their child is well looked after and happy. I would give it 2-4 weeks and if she is still a high maintenance parent and you don't want to deal with her than I would terminate.