According to the current Rhapsody web site, it should install on a computer with Internet Explorer, Windows Media Player 10, Flash 8 or higher.
I tried creating a winxp bottle, installing IE 7.0 and WMP 10. Rhapsody appears to install correctly, but I get a fatal error a little while after the splash screen shows up on launch.
If anyone finds a workaround for this application, let me know. It would be nice to see it working under Linux.