The Lloth-touched drow admits to being a bit disconnected form her people, but directs the construct to a drow city, several dozen miles away, though she lets him know that the tunnels she used have likely been sealed off, or collapsed, since then, so she doesn't have a current route. If it travels to the city, it won't have any difficulty finding a priestess who can commune with Lloth, though convincing her to do so might be difficult.