The issue may also be affecting people who rely on Cloudflare for their DNS resolution via its 1.1.1.1 service, if you use that then switching to your ISPs servers or Google DNS (8.8.8.8 or 8.8.4.4) could help.
Cloudflare has acknowledged there is an issue, and said a fix is being implemented. Some have reported being able to access Discord again already, so sit tight.