Unlike a mobile app, it takes several days for the Watch Faces to propagate out.
Also go to https://play.google.com/store and under your account click on library and devices see if your watch is listed and you have the same google account on your mobile.
Use the Wear App to open the store from your mobile and search that should register your watch if it isn’t already listed.
Finally there is a similar report from others about the Watch Tag not showing and watches not being available that I think was recently somewhat fixed. See this thread. That may still be affecting your watch face being visible.
Ron
Samsung Developer Relations