I can see the Chiyo comparisons that people are making (I agree), but the first person that popped into my mind when I saw her was actually Kishika (sword-girl). I felt they were closer in their gimmick: people that present an extremely serious exterior and are bound to their creed from their childhood growth, but actually want to buck the system. In opposition to Kishika wanting to receive the doting, Kimari wants to partake in freedom by breaking (or at least bending) the rules.
I can see some neat interactions that could happen with the rule people (Nano, Chiyo, Kishika), but I want to see her even more with her teacher colleagues: Freedom Naddy and Vice Momoha.