Any chance you have the Add-on NoScript? (Click Tools/Add-ons to bring up a list of add-ons.) If you do, right-click anywhere in the Library window, click on NoScript in the menu that pops up, then click to allow bdsmlibrary.com.
The only other thing I can think of is to open the library in Internet Explorer, to see if that works with the library.
One more thought. I'm not very familiar with Vista, but if you're using that there may be a security issue there. Someone else would have to help with that. I seem to recall on my dad's pc that security questions frequently pop up and it's possible you banned the library in Windows.
That's about as far as I can go. I'll keep thinking about it, though, and let you know if I come up with anything else.
Good luck!