What happens if you open up a konsole and type azureus
You should get the output of any error messages hopefully.
btw: If you are looking for a good bittorrent then qbittorrent is an excellent one. It even has a search function to look for downloads from different bittorrent sites.
It's available in portage and you can also find it here to http://qbittorrent.sourceforge.net/
All the best