Singleplayer servers don't appear on the master server, if you hosted alone on a passworded authenticated server then yes it will appear on the masterserver even after you shut it down. It'll eventually refresh and just go away. I encourage that if you do plan on hosting dedicated that you just do that and not host directly after hosting through your client. Otherwise, it just complicates joining the dedicated server since the old client one just sits there for a bit before going away.