Satsuki Gokajō coaches athletics at the protagonist's school and subsequently moves into his home, becoming one of his maternal figures alongside other teachers. She boasts a loud, boisterous personality, valuing physical strength far above intellectual pursuits. Her actions and speech are often impulsive and consequence-blind, frequently escalating to aggressive or violent outbursts during interactions. Despite this rough exterior, a fundamentally kind-hearted and affectionate nature lies beneath.

This stark contrast fuels her nickname "The Bear-Woman," reflecting both her habitual choice of bear-patterned sleepwear and her animalistic behavioral tendencies. Fiercely competitive, she demonstrates a substantial appetite in eating contests, though another character ultimately exceeds her capacity. She engages in recurring, escalating clashes with fellow resident Uzuki Shitennō, their differing personalities and viewpoints frequently triggering conflict.

In physical confrontations and discipline, she employs a signature submission hold called "The Booby Trap," leveraging her strength in a headlock position. Her motivational and training approach emphasizes universally rigorous, spartan methods, showing softer treatment only towards Minazuki Rokumatsuri. The arrival of Nagatsuki Kuron as a new neighbor and rival for maternal affection in "Happy Lesson Advance" introduces new household dynamics, though Satsuki's core traits and established relationships remain consistent.

She actively participates in household management and domestic duties shared with the other residents. Her personal quarters feature thematic elements consistent with her enduring bear motif.