Kisspeptin Administration Subcutaneously to Patients With IHH

Inclusion Criteria: * Congenital IHH * Confirmed diagnosis by medical provider supported by low sex steroids in the setting of low or inappropriately normal gonadotropins * Normal blood pressure (systolic BP \< 140 mm Hg, diastolic \< 90 mm Hg) * No current or recent use of a medication that, in the opinion of a study investigator, can modulate the reproductive axis or willing to complete an appropriate washout for that particular medication and method of administration * If applicable, willing to use birth control methods (as approved by a study medical professional) during the entire study and for one month after the last dose of study drug Exclusion Criteria: * Any condition (medical, mental, or behavioral) that, in the opinion of a study investigator, would likely interfere with participation in/completion of the protocol * Excessive alcohol consumption (\>10 drinks/week) * Active use of illicit drugs (not including marijuana) * For women: * Pregnant or trying to become pregnant * Breast feeding * History of: bilateral oophorectomy (both ovaries were removed), breast cancer, thromboembolic disease, coronary artery disease, stroke, thrombophilic disorders, or undiagnosed abnormal genital bleeding