Using the New Outlook for Mac features in business environments
Dear Adrian D,
The message in your screenshot indicates that eM Client is requesting permissions that require approval from a Microsoft 365 administrator. Your organization's security settings do not allow standard users to grant these permissions.
If you have a Global Administrator account, please click "Have an admin account? Sign in with that account" and review the permission request. If you are not an administrator, please contact your Microsoft 365 admin and provide this screenshot so they can review and approve the application if it is permitted by your organization's policies, you can find guidance on locating them here: How do I find my Microsoft 365 admin? - Microsoft Support
According to Microsoft's guidance on application consent in Microsoft Entra ID, users can only grant consent for permissions that fall within their scope of authority. If an application requests one or more admin-restricted permissions, or if user consent has been disabled by the tenant administrator, the user will receive a "Need admin approval" prompt and an administrator must grant consent before the application can be used.
For reference, please refer to: Consent experience for applications in Microsoft Entra ID
Hope this helps. Welcome to share any updates when you have time if you need further help on this issue. Thank you very much for your valuable time and your cooperation.