This article explains how to disable your Twitch account. It includes information on why you should or should not disable your account, and the steps you should take before disabling your account.
How to Permanently Delete Your Twitch Account – Complete Guide
Twitch does not offer users the ability to completely delete their data, but it is possible to disable accounts, which is actually the next best thing.
Log in to your Twitch account on the Twitch website.
Click the menu icon in the top right corner and select Settings.