This badge is rewarded to people who apply and sign in the GLHF pledge on their website.

According to GLHF:

"Take the GLHF pledge and link your Twitch ID to unlock the exclusive GLHF global chat badge on Twitch, Once connected, you can equip the badge in your profile and show your support for inclusive gaming and positive communities in any Twitch chat."

This badge can be obtained by heading to GLHF pledge and sign in/pledge their form.

https://www.anykey.org

https://www.anykey.org/pledge