Denmark has a constitutional monarchy, which means that the monarch cannot independently perform political acts. Although the monarch signs all Acts of Parliament, these only come into force when they have been countersigned by a Cabinet Minister.
The Queen's main tasks are to represent Denmark abroad and to be a figurehead at home. The Queen performs the latter task by accepting invitations to open exhibitions, attend anniversaries, etc. Exhibition openings abroad in connection with export campaigns are also often attended by members of the Royal Family.