She has roughly the same characterization as the male version. She does, however, have an alternate characterization from the "Learn with Manga!" comics, where she is more depraved and quick to perv on other female Servants, particularly Mash Kyrielight.
The male protagonist is colloquially called Gudao. The name Gudako could come from an abbreviation of Gurando Oodaa, or from "Gudaguda Order" (ぐだぐだオーダー), an official series of Grand Order comics (English, Japanese). Ko is a common ending for female names and can also mean girl.
