For a Public Sector Organization enhancing its website to allow both authenticated and anonymous reporting of health or safety concerns, the appropriate configuration using Salesforce Public Sector Solutions would involve:

Using the Public Complaint and Case objects (Option C). Salesforce Public Sector Solutions includes specialized objects like Public Complaint, which is designed to handle situations where the public can report issues. These can be configured to allow anonymous entries while maintaining the capability to create and track related Cases for internal follow-up. This setup enables the organization to efficiently manage and segregate public inputs from internal case management processes.

Options A, B, and D do not fully address the requirements:

Option A and B involve using only the Case object or different record types on the Case object. While these configurations could segment reports internally, they do not cater specifically to the need for public input, particularly anonymous reporting.

Option D suggests creating a custom object for the Complaint with a lookup relationship to Case, which would require additional customization and might not leverage existing functionality as efficiently as using Public Complaint.