Gender role, which refers to the cultural expectations as understood by gender classification, is not the same thing as gender identity, which refers to the internal sense of one's own gender, whether or not it aligns with
Definition of butterfly effect : a property of chaotic systems (such as the atmosphere) by which small changes in initial conditions can lead to large-scale and unpredictable variation in the future state of the system
A related way to interpret the Butterfly effect is to see it as highlighting the difference between the application of the notion of causality in physics and a more general use of causality as represented by Mackie's INUS conditions.