To delete an event navigate to your GoFan dashboard. From there, search for your event and click the three dots in the far right column. You might need to use the scroll bar at the bottom of the screen to view the three dots on the far righthand side of the event. In the dropdown you'll see the option to View, Edit, or Delete your event. Click "Delete event."
If only the option to "Cancel event" is visible, then tickets have been purchased for this event.