Limewire blocks all executable files. Programs of different kinds incl. Viruses, Spyware, Adware and other nasty stuff. This is to keep newbies like you and some people that are just ignorant safe from infec*tions.
And I can assure you that no TV-show will be in an executable file, so I would advice you to delete the virus you downloaded.
I would also suggest that you stay away from files of these formats:
.com
.exe
.zip
.rar
These are the filetypes that will most likely contain malware (Viruses and such). Also you would maybe find a bit of reading useful. You could start here:
http://www.gnutellaforums.com/showthread.php?t=41432
Other interesting stuff worth knowing about Limewire is in the
Sticky threads scattered around the different forums. The "How to find music" sticky at the top of the "Tips and Tricks" forum has lots of tips that you can apply when searching for video.