Princess Benedikte was given the Dannebrogordenens Hæderstegn, which is not the Order of the Dannebrog itself. It is some kind of a cross of honour of the Order. Here are some pictures of the award:
https://www.google.pl/search?q=Danne...w=1920&bih=919 Benedikte is Grand Commander (Storkommandor) of the Dannebrog, which is the highest , special class of the order, since 1993.