Del. Code tit. 16 § 703
The Director shall, when in the Director's own judgment it is necessary to protect the public health, make examinations of persons reasonably suspected of being infected with an STD of a communicable nature; examine medical records of suspect or diagnosed cases which may be maintained by a health facility or health care professional; require persons infected with an STD of a communicable nature to report for treatment to a health care professional, public or private, qualified to provide treatment and continue treatment until cured, if possible, and also, when in the Director's own judgment it is necessary to protect the public health, may issue an order seeking to examine, isolate or quarantine persons infected with an STD of a communicable nature or persons suspected of being infected with an STD.
16 Del. C. § 703