Taking into account the processes of normalization of experiences of gender and sexuality in the family context, the present work focuses on the life stories of people who identify themselves as LGBTQIA+ regarding their life experiences with their family. As part in the contemporary researches of Applied Linguistics – which has been intending to understand the processes of production of vulnerability and subalternity in discursive and social practices – the processes of identity construction (performance) in these narratives as well as the respective discourses that support it are investigated. In a qualitative and interpretative research methodological bias, data were generated through interview with men and women whose performances correspond to the above-mentioned spectrum of sexualities; for the analysis it was chosen the narratives of three participants. For this, it was mobilized discussions and tools proper to the Narrative Analysis, Intercultural Sociolinguistics and Queer Linguistics. The analysis follows the laminar division in three parts. In the first, it is intent to demonstrate how identities are indexed through sequential relations in the production of causality and through evaluations in order to produce the family as a repressive institution. In the second, based on the face work, we seek to show how a stigma negotiation occurs in the interaction. Finally, based on lexical choices and evaluative sequences, it is intent to show how the Discourse of Repression is indexed in the narratives. From this, it was possible to understand how identity performances not coherent with cis-heternormative values triggered process of control, regulation and repression.