This study aims to enhance our understanding of the diverse nature of social–emotional development and explore the demographic disparities and intersectionality of social determinants among children, with an emphasis on underserved populations of children in low-resource environments. Young children living in low-income families are exposed to a wide array of social and systemic risks that increase the propensity for poor learning and social–emotional development. Using data from the Head Start Family and Childhood Experiences Survey (FACES, this study focuses on the social–emotional development of a nationally representative sample of young children enrolled in the Head Start program (n = 1921, 50.18% male). Employing a person-centered approach, we assessed teacher-rated social–emotional competence, including approach to learning, social cooperation, aggression, hyperactivity, and anxiety/depression/withdrawal, to classify young children’s social–emotional development. This study identified four distinct social–emotional profiles—Adaptive, Average, Moderate Risk, and High Risk—through latent profile analysis. Furthermore, multinomial regression analysis revealed demographic disparities within each social–emotional profile, and significant intersectionality was found between race/ethnicity, age, and disability status in the social–emotional profiles. This research provides valuable insights for better supporting each child’s unique needs.