Discord will allow Google to search public server messages starting in December, with users able to manually disable it.
Source:
ct.com
According to Cointelegraph, Discord will roll out web pages for public servers with at least 1,000 members that do not require invites to join starting November 16, and will allow eligible channel messages to appear in search engine results from mid-December. Users can disable the "Show my message content on the web" setting under "User Settings" > "Data & Privacy".