You are free to choose any doctor, who has vacancies for new patients. However, if the doctor is located more than 15km from where you live, you are not entitled to home visits by the doctor. In Copenhagen, Frederiksberg, Tårnby and Dragør the limit is 5 km.
You must use the blue EU Health Insurance Card, when you travel to an EU country, Norway, Iceland, Switzerland or Liechtenstein. You must still use the yellow health insurance card, when you visit your GP in Denmark.