Travelling in Dominica you will meet Type G sockets, fed with 230 V at 50 Hz. At 230 V the supply matches what UK and European appliances expect, so no converter is needed.
The same socket system is used in Grenada and Saint Lucia, so one adapter covers all of them. Watch out when moving on: Canada, Antigua and Barbuda and El Salvador use a completely different system. Across North and Central America this setup is fairly rare: 3 of 31 countries.
Protective earth
Grounded socket systems are common
Protective earth is standard in Dominica; your adapter should carry it through.