To do this, navigate to your Discord settings, then to Connections. There should be an option to “Display Playstation Network as your status”. You will obviously want this ticked. But, and here’s the big but(t): You are going to need to change a setting on your PS Device before it will show up as your status. This is where my issue was.

https://www.reddit.com/r/discordapp/comments/srs6ws/psn_status_not_showing_up_as_a_status_some/