By law, if you were to pick up your kid, she could not call the police on you for parental kidnapping. The same goes for her which is what she has done if I read this correctly.
Tell her that she needs to establish some form of legal custody agreement between the two of you since she is the one that left, otherwise you can assume (as can she) that you will have your kid half the time and so will she - if she has a problem with this, she will have to do something legally about this.