Can I Control Who Gets The Emails That Are Sent Out When A Timesheet Is Deleted?

Answer: No. All admins listed as Timesheet Directors in their Admin Role will get these emails. There is not currently a way to stop these emails from being sent to folks with this timesheet role.
Is this annoying you or someone on your team? We recommend setting up a filter with your email provider to either delete or automatically move to a folder.

Google: "how to set up email filters in [enter your email provider]" (Example: how to set up email filters in Gmail)

For more information on managing Admin Role permissions, check out this article.