Upload to Picasa using a non-Gmail account?

I'm trying to upload some photos to Picasa using the Share feature in the Gallery. However, it doesn't seem to want to upload them to my Google account, which is non-Gmail. I have a Gmail account as well so that I can purchase apps from the Market, and it's only giving me the option of using that account. Any way to change this?

 

Both the Gmail and non-Gmail accounts are set up in the Accounts area.