There is a general threat from terrorism. Attacks could be indiscriminate including in places frequented by foreigners. See Terrorism
The annual Grindadráp whaling season in the Faroe Islands typically takes place between June and September. This event has attracted protesters and there will be an increased security presence during this time. Anyone engaging in potentially dangerous acts including to life and/or property could be arrested. You should respect local laws and customs.
Around 150,000 British tourists visit Denmark every year. Most visits are trouble-free.
If you need to contact the emergency services call 112.
The Overseas Business Risk service offers information and advice for British companies operating overseas on how to manage political, economic, and business security-related risks.
Take out comprehensive travel and medical insurance before you travel.