Let me help you check your bounced emails.
We can go to your Audit Log if your Dashboard doesn't show any bounced emails. Here's how.
1. Click on the Gear icon.
2. Under Tools, select Audit Log.
3. Find the emailed transaction, then click the View button under History column.
4. From there, you can check the Delivery Error.
If it's successfully sent, there'll be no error displayed. But if the email not successfully sent, then there'll be a "Bounced Email" status displayed beside it.
Please see the screenshots below for your visual reference.
Don't hesitate to come back here to the Community if you have any other questions. Have a great day!