Hello Terri! Glad you found the Adenium forum!
Yes it is an Adenium. Looking at your plant, I think the plant is still partially dormant. The thing with Adeniums, it manifests dormancy differently. It may drop all its leaves, or it may hold on to the last few remaining leaves or blooms. You will know it is still dormant if you have not seen any new leaf forming at all. And that is what I see in your plant right now.
Try to feel the caudex, that bulbous trunk, if it is still rock solid, then it is okay. What you can do is position this plant outdoors in a part sun/part shade area, so it can acclimate to your outdoor conditions. If it is raining hard on your side, put it in a protected spot for now, but in a spot where it still gets access to bright light.
When the plant is fully awake, with new leaves forming, it can be watered like any tropical plant, It actually loves water but you have to make sure the media is very well draining. As you can see it holds water in its caudex, and that caudex continues on growing too below soil level, so it hates sitting too long in a very wet media. When it is fully awake, it can take on direct sun very well, the hotter the better. It is one of my few succulents here that enjoys our very dry 100F and higher temps, but it has to be acclimated to that condition first gradually.