COPENHAGEN - Non-euro nation Denmark took over the European Union's rotating presidency Sunday, aspiring to ease the bloc's crisis but few expecting it to impact the power game dominated by the big players. As Poland passed on the baton, the small Scandinavian country of 5.6 million -- one of the few in Europe with a left-leaning government -- will have to face head on the ballooning euro debt crisis. But with the big euro nations of France and Germany seen as driving the crisis management, Denmark risks being marginalised along with the nine other EU members, including Britain. The importance and sway of the EU's rotating presidency has also dwindled since the Lisbon Treaty created post of president.