I don't find a reference to the Huldah gate, jus this reference to a woman:
......Huldah the prophetess, the wife of Shallum the son of Tikvah, the son of Harhas, keeper of the wardrobe; (now she dwelt in Jerusalem in the college
and they communed with her.....In
IIKings 22 and IIChronicals 34. It appears to be the same story both places.