Part of macOS
usernotedNotification delivery
○ Leave it
Delivers app notifications to you.
What it is
Receives notifications from apps and passes them on to Notification Centre.
If you stop it
macOS starts it again straight away. Leave it.
The verdict
○ Leave it. Part of macOS, or something that starts again by itself. You never need to close these.
In Activity Monitor
usernotedusernotificationsdUserNotificationCenter
From Procession’s guide, in the words the app shows.