Me and other 3 friends stayed at Emilie's flat, and we really recommend it.
Even though Emilie couldn't be there for our arrival, she left all the instructions to get there, and she answered our messages really fast.
The flat is next to a bus stop that stops at the central train station, and it's 5 min from a metro stop. Also, there's a supermarket in front of the flat, which is really comfortable.
The wifi is not bad, and it has all the amenities (except from Coffee machine). The toilet can be a bit uncomfortable, because of the shower, but in general it's a great place to enjoy some days in Copenhaguen (: