If you downloaded PSE 12 for Windows then you downloaded the correct version. There are only two versions, one for PC and one Mac. The PC version covers Windows XP SP3 thru Windows 8.1.
If you are having a problem downloading you can always try a direct download of the trial version thru the fllowing site.
Be sure to follow the steps outlined in the Note: Very Important Instructions section on the download pages at this site and have cookies enabled in your browser or else the download will not work properly.
Photoshop/Premiere Elements 12: