To remove an SMS template:

Go to Settings -> Scheduling -> Appointment Communication

Click on SMS Templates at the foot of the screen

Click the trash can icon alongside the template you'd like to delete:

The template will be deleted, you'll no longer see it on the list and it will no longer be available within the Message template dropdown when creating a communication trigger.

You'll not be able to delete a template if it's currently used in a communication trigger.  You'll need to change the template used in the trigger first.
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