We're in the midst of development of our site. When browsing, everything looks fine. However, when we access our order page, which is a secure page (ie. https), the page does not have any of the styling applied from the CSS files. In fact, if I use "https", instead of "http", in the path for any of our pages, the same thing occurs.
Sounds like you are using the full URL for the stylesheet. If you change the call for the stylesheet from 'http://www.yourdomain.com/afolder/stylesheet.css' to '/afolder/stylesheet.css' it should clear that up.
Okay. I discovered what the problem was. Apparently, I had added some code into our .htaccess file to prevent hotlinking of images and our css. And the code does not specify "https". So, that was the problem.