Twitch deletion is on their website, not the app. Go to twitch.tv, log in, and visit the account deletion page (twitch.tv/user/delete-account, or Settings > the disable/delete option). Confirm with your password. Your channel, clips, follows and VODs are removed. There's about a 14-day window where the account is deactivated and you can reactivate by logging back in, but after that it's permanent. Cancel any Turbo or subscription first so you're not billed. If you were a partner or affiliate, contact support, there can be extra steps.