dancedric

This plugin allows you to have a “Live” badge in your website when streaming with Twitch. 
The texts and colors are customizable!
You will need a Twitch account and a Client ID. 
There will be instructions in the plugin on how you can obtain/generate your Client ID in Twitch.
Note: 
Once you have configured everything, you should know that there is ~ 3-5 minute delay when you’re going in and out of live in Twitch.
After configuration, you can display the badge in your website via Widgets.

Live Stream Badge

Display a "Live" badge as a widget in your website when streaming with Twitch.

Jerry

With this plugin you can display specified streams that are live on Twitch.tv
Plugin uses cron to fetch data from Twitch API (interval of 5min).
You can display streams using widget or a shortcode. 
Examples: [livetwitch count=2] [livetwitch singular=”rainbow6″]

LiveTwitch

With this plugin you can display specified streams that are live on Twitch.tv

Live Stream Badge vs LiveTwitch