This is likely a title or character reference from adult-oriented manga, anime, or doujinshi (specifically from the hentai genre). As of my knowledge cutoff, there is no mainstream or widely known work by that exact name in general anime/manga databases.
However, the school administration adopts a pragmatic, if highly unorthodox, approach to adolescent biology. They acknowledge that the "lust of the elite princesses" cannot be simply suppressed. Their solution is to formalize the outlet for these desires. The school actively employs men to serve as gigolos, providing a pre-approved, safe, and controllable environment for their students to explore their sexuality without the risks or complications of traditional dating. Thus, the protagonist, originally a guarantor for a failed business, becomes the "school-sanctioned gigolo". seika jogakuin kounin sao ojisan