Credit card companies cannot simply switch debt to another's name. They have to sue this person but since they were taken out in your name and you appeared to be okay with it, it may not be truly considered identity theft or something the credit companies are willing to close out for you. Unfortunately, you may wish to press charges and sue her civilly for identity theft and restitution. Your credit could be ruined because of her actions so you may wish to pull your credit reports (3 at least) and file disputes with these companies to show you do not owe the debt and to put a security hold on your files.