Can't help with Windows because I use osx. Don't know if moving the fonts was the best idea but, no matter what, restart your machine and ID.
You might try rumaginf around on the Character window to see how ID is listing your fonts. Although it doesn't do this on my OSX, some fonts my be listed by foundry. For example, when I get to the Cs, the list displays Adobe Caslon, then ITC Caslon, then Caslon 540, then Caslon Openface, then Caslon Openface BT, then Adobe Caslon Pro.
I have heard that the font menus in Windows are different, so you might try scrolling through the whole list to see if your particular font shows up somewhere else on the list.