Look at the FAQ section
What I determine is that the ship will come into Freeport Terminal.
Transport quote from the site:
There are three ways to get from the airport to Freeport Terminal.
Shuttle: Shuttle services are usually available from the airport to Freeport Terminal. Contact your cruise line directly for information.
Taxi: A taxi from the airport to Freeport Terminal will take approximately 30 minutes and cost about DKK 250-300 (about $40-$50).
Public transportation: It is not possible to take public transportation all the way, but you can take the train to Nordhavn Station, and then a taxi from there. From the airport arrival hall, DSB (Danish State Railways) trains leave every 20 minutes. It will take approximately 18 minutes to reach Nordhavn Station. The cost is about DKK 23 (about $4). A taxi from the Nordhavn Station to Freeport Terminal will take approximately 10 minutes and cost DKK 50-70 ($8-$12).
Happy cruising. I too am on the Crown leaving the 20th!