I've just booked an overnight here. I see they are now charging for the shuttle: it was free last year.
Confusing, the reservation mail (and web link) both mention 2 euros each way - I make that about 15 Danish Kr
"Airport Shuttle between 6:00 - 23:00 with onboard WiFi
Use our shuttle service to and from Copenhagen Airport. 2€ each way"
http://www.marriott.com/hotelwebsite...sremarsha=MR~G