Do you know which hotel?
UVF airport is at the southern end of the island. It's the larger of the two airports, so if you're flying from USA, Canada, or Europe, that's where you'll land. It's not close to most hotels, though. It's about 45-60 minutes away from most of the hotels.
SLU airport is in the north, near the capital of Castries and near most of the hotels. It's a tiny airport that receives flights only from other Caribbean islands.