Piece of cake. You should have time for 30+ min in the Scandinavian lounge. The passport lines for C and D piers are next to the lounge so you can judge when you need to leave, but it should be dead at that time in the evening...

It's been ages since I flew CPH-LHR but they used the upstairs D gates on the last two ocassions and that's very close to the passport control.