Configuring preferences and options in Outlook.com
Hi mr_huttner,
Thank you for posting your concern here in Microsoft Community Forum. I understand that you're having the same issue with regards to receiving this email once per week on your account. Let me assist you with your concern.
As our initial troubleshooting step, I advise that you remove then re-add your Gmail account on your Outlook.com to re-establish the connection of your account. You may follow the steps provided by Mary Grace A in this thread. Also, make sure that you can sign-in to your Gmail account.
If issue persists, please provide us the exact steps on how you configured your Gmail account to your Outlook.com and provide us the affected email address in the private message I created.
Note: Please sign-in to this website in order to see the Private Message tab where you can provide the email address. We also need you to reply back to this post if you already provided the information on the private data area. This will help facilitate our actions regarding your issue.
Thank you!