Del. Code tit. 20 § 3143
The public health authority and the Department of Safety and Homeland Security are authorized to promulgate and implement such rules and regulations as are reasonable and necessary to implement and effectuate the provisions of this subchapter. The public health authority and the public safety authority shall have the power to enforce the provisions of this subchapter through the imposition of fines and penalties, the issuance of orders, and such other remedies as are provided by law, but nothing in this subchapter shall be construed to limit specific enforcement powers enumerated in this subchapter. However, rules and regulations promulgated and implemented under this subchapter and enforcement of the provisions of this subchapter must be in accord with the due process rights guaranteed by the 1897 Constitution of the State, as amended, and the Constitution of the United States of America.
20 Del. C. § 3143