There is one village and a lot of desert, and the only real question is which side of the protected area boundary your camp is on.
Inside the protected area
Camps out on the reserve side, reached only by 4x4 from the visitor centre. No road noise, no light and no walking anywhere without a guide — you are committed to your camp's vehicle for everything you do.
Rum village
The settlement itself, where the guides and camp families live. Shops, a phone signal and the fee gate are all here, and beds are cheaper — the trade is that you are looking at the desert rather than sleeping in it.
Disi, north-east of Rum
Several large camps sit out this way and market themselves as Wadi Rum. Some are a long way from the jebels the photographs are of, so check exactly where your camp is on a map before you book rather than after.
Practical: one night is a stopover, two is a visit
Almost everyone arrives at midday, does the standard jeep circuit and leaves after breakfast. A second night buys a walking day and a second sunrise, and costs less than the first because the transport is already paid.