I highly recommend!
The apartment is very well situated, walking distance to various parts of the city, feels kind of like in the center of everything. A lively street with restaurants and bars is round the corner, very convenient for dinner time. A lake just in front of the entrance for a stroll or a run around in the morning.
You can find there anything you would need: from towels, shower gels, a hairdryer to a coffee maker including filters and some basic coffee. There is even eye make up remover - I really appreciate these pragmatic details :)
The host is amazing, very responsive and helpful. We got a quick Copenhagen 101 overview in person upon our arrival.
I would definitely be happy to come back!