What do you do if there is no edit option?
Be sure you have tapped on to the list. If there is no "edit", then first try a hard reset.
Hold the top or side power/sleep button and the home button at the same time until the Apple logo appears, then release.
If that doesn't work, then try Reset All Settings.
Reset All Settings
Go to Settings >General >Reset >Reset All Settings. This resets to default everything in Settings, including notifications, alerts, brightness, and clock settings like wake up alarms.
If it's still not there, then you may need to restore your phone as new. Not from a back up. Just start with a new copy of the OS.