Streaming
Streaming is done from the server, which means the host/ website would have to handle the streaming. it would have nothing to do with your computer.
unless YOU ran a streaming server yourself which involves a pretty steep learning curve, and an allowance of bandwidth that your ISP probably does not provide.
Nicecast looks like it handles some of that for you.
"Once you've got your stream set up, tuning in is easy. Listeners can receive the stream with any MP3 player, on any platform, which supports streaming."
If you want to learn more about streaming, do a Google search for "streaming audio web"
Another problem you would have is that copyright protected songs can't legally be copied or converted...
Regards,