If you are not receiving your test messages when clicking "Save & Send Test," the most common issue is that the "Sending Email" email address (from your Automated Messages) and the "Email for Test Messages" are the same in your Message Settings. This can cause issues with certain email clients, and prevent test messages from sending. If this is the case with your account, we suggest changing the "Email for Test Messages" to a different email address you can access, and see if that works. This should allow you to receive your test emails without an issue.
Other troubleshooting tactics we recommend are verifying that these Test messages are not being sent to your spam folder.