Well before it is inundated by rising seas, rising temperatures (in the hottest times of year) and high humidity can make it impossible for humans to sweat enough to maintain a livable body temperature, even sitting still in the shade.
This will be a problem in other areas, particularly Sub-Saharan west Africa, much of Central America, and in and around Indonesia. Hundreds of millions of people live in those areas now. They will not sit down and die; they will try to move to where they can live, but there are borders in the way, and people blocking those borders.
It has already started.