When I was there, there were no particular problems with poverty. Clearly, not everyone was rich, but neither were they starving in the streets. The island has the benefit of great tourism, and is a main destination for French vacationers. That brings in a lot of money to the local economy, and you can see this in the number of hotels and restaurants catering to foreigners. There are many places for rent, private taxis, equipment rentals, and guides. I think, with the collapse of their sugar industry, the population moved to tourism and services without much problem. That, and their healthy textile industry, keeps most, or enough, employed.
Then, there is their kind and giving island attitude. They take care of their own, like they do guests.
Of course, economies change, and jobs can dry up. I do not know how well they fare this year, but would think they will pull through despite troubles in the global markets.