Honestly? Just give her time. When I do home visits I tell new adopters that their new dog will often behave like a very polite stranger in their home for quite a while. It can take several weeks to months for the dog to even realize that they actually live there now and that you are their people. That they are not merely a guest in your home and will be moving on yet again. Remember although she may like you, she doesn't really know yet. She is not yet bonded with you.
It is impossible to say when that magic moment will be for your dog but when it does happen, then you will see her attach to you in ways that will absolutely warm your heart. I would second all the training suggestions but it has only been a month! That is nothing, really nothing! And I just bet in 6 months or a year you will look back on this thread and just shake your head.