What do you think would happen if a person in a session has a personality that best matches the qualities of a class that is assigned strictly to the opposite gender? For example, if a female has a personality that is most like what the personality of a Prince would be.

Classes aren’t gender-locked. At worst if there’s disphoria that’d be exacerbated by it, SBURB may just mildly modify the name, such as Prince -> Queen.