Hegai

A man, in the time of Exile and Return · named in 3 verses

the name means Eunuch Easton's Bible Dictionary

Hegai was a eunuch in charge of King Ahasuerus' harem, responsible for preparing Esther for her night with the king.

From Easton's Bible Dictionary

Eunuch, had charge of the harem of Ahasuerus (Esther 2:8).

Easton's Illustrated Bible Dictionary, 1897 — public domain, quoted in full and unedited.

First named at Esther 2:3.

Esther 2:3 and let the king appoint commissioners in each province of his kingdom to assemble all the beautiful young women into the harem at the citadel of Susa. Let them be placed under the care of Hegai, the king’s eunuch in charge of the women, and let them be given beauty treatments.
Esther 2:8 When the king’s command and edict had been proclaimed, many young women gathered at the citadel of Susa under the care of Hegai. Esther was also taken to the palace and placed under the care of Hegai, the custodian of the women.
Esther 2:15 Now Esther was the daughter of Abihail, the uncle from whom Mordecai had adopted her as his own daughter. And when it was her turn to go to the king, she did not ask for anything except what Hegai, the king’s trusted official in charge of the harem, had advised. And Esther found favor in the eyes of everyone who saw her.