Hi @dawna Thank you for your question! 

Looking into your deleted tickets for your site, an email is not currently shown as a part of the timeline. You also do not have a rule set to email the requestor when the ticket is deleted. You can create a rule to send an email when the ticket is cancelled. I am doing some research to see if it will send an email when deleted but it does not look like it does. 

Are you wanting it to send an email when the ticket is deleted?