She is generally known as Kunaikyo, but sometimes specifically referred to as Gotobain Kunaikyo to distinguish her from another court-lady poet of the same name ("Gyokuyo shu" and so on).
一般には宮内卿とされることが多いが、同名の女房歌人と区別するために、特に後鳥羽院と冠することもある（『玉葉集』など）。