Selenite is a variety of gypsum, calcium sulphate, and it is the softest material anyone is likely to buy as a decorative stone: hardness 2, which means a fingernail marks it. That single fact governs everything about owning it. It scratches if you look at it wrongly, it should never be washed, and it will dissolve in water given time.
It is also the mineral most often sold under the wrong name, though usually harmlessly. The fibrous, silky, translucent white material in tower lamps and charging plates is properly satin spar rather than selenite proper, which is the transparent bladed form. The trade uses selenite for both, and has for long enough that arguing is futile.
There is no meaningful counterfeiting problem here, because selenite is abundant and cheap. What there is instead is a great deal of confusion with harder white minerals — calcite, quartz, howlite, aragonite — and one properly useful test that separates it from all of them in a second.