Is Discord messages end-to-end encrypted?

When it comes to encryption, yes, Discord do uses standard encryption (data in transit), but that doesn’t mean it is end-to-end encrypted. As per it’s privacy policy, discord do collect fair amount of data on its users and share that data with third-parties. So, definitely it’s not E2E encrypted.

Are Discord DMS private?

Discord’s direct messages allow you to have one-on-one conversations with other users in the Discord community. These are private conversations that won’t be seen in a public chat server.