The certification of a duly-licensed physician or nurse practitioner will state what regarding the applicant?

The correct choice indicates that the certification from a duly-licensed physician or nurse practitioner will affirm that the applicant is free of infectious or communicable disease. This is a critical component of public health and safety in the field of cosmetology, particularly in services like waxing, where skin contact is involved.

Having a certification confirming that an individual does not have any infectious or communicable diseases helps to ensure the safety of both the practitioner and their clients. It demonstrates adherence to public health standards and reassures clients that they will not be exposed to potential health risks during these services.

While it's important for an applicant to have completed required training, possess valid identification, and potentially be eligible for public service, those aspects do not directly relate to health and safety in the same way that verifying the absence of infectious or communicable diseases does. This certification is crucial for maintaining a safe environment in any waxing or esthetic practice.