You need an embassy visa for Dominica if you have an Icelandic passport
Visa options for Dominica
Visitor visa
Travellers need a visa to visit Dominica for Business or Tourism. A paper or embassy visa is the only visa available for travellers visiting Dominica. The visa is typically a stamp or sticker added to the passport. Travellers must obtain this visa from a local embassy, consulate, or visa center before travelling.