Inserted in the area of Applied Linguistics, this research investigates the sociodiscursive construction of identities in the narratives of a student from the Adults and Young Adults Education Program. Considering that the participant has a late process of literacy, the main objective of the study is to understand the relationship between her identity constructions and the stigma experienced by individuals who cannot read and write in the Brazilian society. The theoretical framework combines the socio-constructionist approach of identities (MOITA LOPES, 2001, 2002, 2003, HALL 2005, BAUMAN 2005) and of discourse (MOITA LOPES, 2001, 2003) to the study of narrative as a social practice as well as to the theory of language proposed by Systemic-functional Linguistics (HALLIDAY, HALLIDAY; HASAN, 1989; HALLIDAY; MATTHIESSEN, 2014), focusing on the Appraisal System (MARTIN and WHITE, 2005). The study was carried out during a semistructured interview recorded in audio and is aligned with the qualitative and interpretative paradigm (DENZIN; LINCOLN, 2006). Results suggest that although the participant points out several obstacles that prevented her from studying, she does not understand her non-schooling as a result of a historical process of violation of rights, but as a personal experience related to specific factors in her life history. In addition, identity constructions emerging during the interview are strongly related to the stigma of illiteracy, and often corroborate it. These identities sometimes point to overcoming this experience, sometimes suggest that the participant still does not see herself as a literate person. Such paradoxes are interwoven with the complex, multiple, and contradictory nature of the identity phenomenon in contemporary times.