We had a wonderful time at Emilie's place. The flat is very nice, in a very charming house (400 years old but with all modern facilities). The flat is perfectly located for tourists: easy to get to from the airport (direct metro) and in an area that one ought to visit while in Copenhagen.
It was very easy to get organised to get the keys and to give them back.
Next time we are in Copenhagen, we will make sure that we can stay at Emilie's place.