Why can't I use the internet channel on my Wii to download the BitTorrent downloader?

I don't want to have to connect my computer to my TV to watch shows/movies I've downloaded from BitTorrent. Is there anyway to download the BitTorrent downloader on my Wii and download stuff straight to it? I have my Wii set up wirelessly on a DSL connection, so I'm able to surf the net, just whenever I try to download something it tells me it's an error.
 
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