Managing personal Outlook.com account settings, security, and privacy
Sorry to hear that you’re experiencing this issue. When you say that you’re unable to see your emails, is this happening on Outlook.com or in the Outlook app?
If it occurs in the app, please sign in directly at Outlook.com and confirm whether you can access your account and view your emails there.
If you are not receiving the verification email in your Gmail account, have you tried selecting a different verification method, such as a phone number or another email address?