Stayed in Lise's apartment for 7 weeks, and it was the perfect place to live. As soon as the sun is out, her balcony is the best place to be, as the wind is not allowed in.
The apartment itself has everything you need. Østerbro is also a great area, with some good restaurants and probably the best bakery in town (Juno). Also just a short walk to the lakes, or about 30 minutes to walk to Kongens Nytorv. If you don't want to walk, the Metro is really close as well. I can strongly recommend this place.
My communication with Lise has also been excellent.