The title archimandrite (/ˌɑːrkɪˈmændraɪt/; Greek: ἀρχιμανδρίτης, romanized: archimandritēs), used in Eastern Christianity, originally referred to a superior abbot (hegumenos, Greek: ἡγούμενος, present participle of the verb meaning "to lead") whom a bishop appointed to supervise several "ordinary" abbots and monasteries, or as the abbot of some especially great and important monastery, but nowadays it is most often used purely as a title of honor (with no connection to any actual monastery) and is bestowed on a hieromonk as a mark of respect or gratitude for service to the Church.
This title is only given to those priests who have been tonsured monks, while distinguished non-monastic (typically married) priests would be given the title of protopresbyter. In history, some women were able to obtain that title, notably when cross-dressing as male monks, such as Susanna the Deaconess.