Notwithstanding the provisions of this Chapter, a dog may be exempted from rabies vaccination if such vaccination would jeopardize the health of such dog due to infirmity or other disability provided the owner has in his possession a written certification from a licensed veterinarian attesting to such infirmity or disability. The owner or custodian of such dog shall, within ten (10) days after the termination of such infirmity or disability, cause such dog to be vaccinated and licensed. Any such dog with infirmity or disability shall be securely confined within its owner’s or harborer’s premises so that it does not come in contact with any other animal or person.