Not sure Judith Epstein-Fischer as I do not know where you answered these questions. You do need to have an Adobe ID in order to download the trial. Is that the process you were completing was signing up for an Adobe ID?
You will need to install the software after you have downloaded it. Did you run through an installation process? Which operating system are you using? Have you looked in the typical location for your OS to see if Photoshop Elements is installed?