MS Twitch Stream is a fully featured package containing a component and module to embed the Twitch Stream, module to show the Twitch chat (live), module to show a list of online and offline streamers and a plugin to automaticly publish and unpublish menu-items and modules based on their streamers online appareance.
You can embed a Twitch livestream anywhere on your site using the component or module. Both have enough options to match your needs.
The plugin, if correctly setup, will automaticly hide offline streamers and show online streamers. Great for using the random module from Joomla! to only show online gamers.