Sofie hosted me for a full week and I had a very pleasant stay. She is an incredible host who is helpful and supportive and at the same time she respects one's privacy and space.
The sleeping couch in the room is comfortable and the kitchen and bathroom facilities offer everything needed. A little downside is the fact that one part of the windows cannot be shaded which allows outside lights and glances inside the room. The windows of the room face the backyard of a supermarket (open from 8-10). On the one hand, this is awesome because it makes grocery shopping very convenient. On the other hand, there were some noises by trucks delivering goods early in the morning.
The location of the flat in Frederiksberg is practical. The next metro station (which offers a direct connection to the airport) is just 5 minutes away. Apart from many supermarkets, the area also offers several parks, restaurants and bars. Finally, the campus of the Copenhagen Business School is in walking distance.
In sum, a highly recommended and economic solution for a short visit of Copenhagen!