Well, it's a bit risky to talk about that kinda stuff here (I myself could care less but just as an FYI), so I will "try" to help:
FIRST OFF, YOU NEED TO LOG INTO YOUR ROUTER:
By default, you can access it by typing in: 192.168.0.1 in your web browser. Although if you have an ADSL or some other type of connection, it would probably be different.
THEN, search around in there for "PORT FORWARDING" of some sort.
Now, this will ultimately depend on how you've setup your network; but you want to open a port (e.g. 50001) for the computer that needs access by typing in that computer's IP address. Again, this will depend on how you've setup you're network. HOWEVER, you can always work around and just use your ROUTER's address (in my case; 192.168.0.1), which will allow ALL your network devices within your network to be accessible via that port. It's more risky, but less troublesome.
THIRD, in Azureus, just input the PORT numbers you used from your router into the "Connection" panel found under the OPTIONS. TCP and UDP, in my case, are on the same port. Although this doesn't really matter. Under "Advanced Network Settings", set your "Bind to local IP address" to your computer's IP addy, or you can just use "eth0".
...you know the best way of learning is trying out yourself. I've screwed with the settings SO MANY times. Eventually, it will become clear.
Good luck.