Coach Peter Woods' side guaranteed themselves a topfour place in the eight-nation group and with it a crack at the play-offs for Pool A qualification.
The victory has also set up a gold medal showdown with the host nation tomorrow in the final match of the tournament, although the Danes' superior goal difference appears crucial.
Britain looked to be on their way to a crushing success when they cruised into a 3-0 lead inside seven minutes. But in the second period the deficit was trimmed to only one goal. Nottingham's Paul Adey restored the two- goal cushion with seven seconds left of the middle period.
After a scoreless final 20 minutes, Woods knows his side are going to have to step up a gear against Denmark if they are to win.