In 2014, the Association of American Medical Colleges (AAMC) published a report proposing qualifiers of competence to guide medical educators towards training physicians to appropriately care for individuals who are or may be lesbian, gay, bisexual, transgender (LGBT); gender nonconforming (GNC); and/or born with differences in sex development (DSD). These qualifiers provide content and context to an existing framework heavily used in competency-based medical education, emphasizing individual and interpersonal abilities to enhance care delivered to individuals identifying as LGBT, GNC, and/or born with DSD. However, systemic and societal forces including health insurance, implicit bias, and legal protections significantly impact the health of these communities. The concept of structural competency proposes that it is necessary to consider these larger forces contributing to and sustaining disease and health in order to fully address identity-based health needs. Competing competency frameworks for addressing diversity may be counterproductive to the ultimate goal of improving health outcomes among diverse communities. In this article, frameworks are reconciled by proposing structural competency as one approach for teaching identity-based health-related competencies that can be feasibly implemented for medical educators seeking to comply with the AAMC’s recommendations. This article aims to “queer”—or to open up—possibilities in medical education in an effort to ultimately support the provision of equitable and responsible health care to people who are LGBT, GNC, and/or born with DSD through the use of innovative frameworks and teaching materials.