Flickr is exclusively a photo sharing site. You can't load video up to it.
However, your program comes with a free subscription to Photoshop.com, which does allow you to share to photos and video.
There is also Vimeo and YouTube.
And, of course, there is Premiere Elements support site http://Muvipix.com, which give you lots of free upload area to post pretty much whatever you'd like. Unlike Vimeo, YouTube or Facebook, Muvipix.com keeps the video in its original format and does not re-encode it or reduce its quality.
First, thanks for the quick reply. However, Flickr does allow video on their site now. I have a Pro account and can upload 90 sec clips. But by sound of your answer it appears there is no direct way to upload video to Flickr. I was hoping Premiere Elements would eliminate a step. Oh well.