A conventional and socially sensitive method for portraying ethnicity or any identity feature for that matter is through other characters and setting perceptions and comparisons and contrasts.
I recently learned about the power of writing about something else to reveal and justify a strong narrator identity presence, what would otherwise come across as author surrogacy's vices of self-centralization, self-idealization, and self-efficacy. For example, parents, neighbors, acquaintances', etc., backstory, interacting characters' dialogue, actions, and emotions, evocative setting details related to cultural identity, and cultural naming conventions. Personal meanings thereof. In other words, oriented times five: to persons, times, places, situations, and events. Or oriented times six, SPICED, to Setting (time, place, and situation), Plot (goals and problems opposing goals), Idea (theme), Character, Event, and Discourse (narrative point of view and voice, etc.).
I recently evaluated a narrative that poked uncalled-for fun at heavyset people. I didn't feel it was socially sensitive because it made negative sweeping generalizations about obese persons. If it had been personally specific to an individual it wouldn't have been as offensive, if at all. As it was, it was stereo-typing based on archetype modeling, a flat and static stock character type used solely for ironic comic effect.
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