In this paper, I examine argumentative strategies that social movements can follow to counter hate speech. I begin by reconstructing the disagreement space of the abortion debate in Argentina as a polylogue, identifying the protests of the social movement Pañuelos verdes as argumentative contributions. I then describe two different forms of hate speech used in response to the movement’s protests. I argue that hate speech discredits the position of Pañuelos verdes in the abortion debate and depicts their protests as social threats. Subsequently, I discuss three argumentative strategies that social movements can implement to address hate speech: arguing with hate speakers; advocating for a dialogue with restrictions; and opting for argumentative disobedience. Arguing with hate speakers aims to make hate speakers retract hate speech by exposing the undesirability of using hateful messages in argumentative exchanges. Advocating for a dialogue with restrictions aims to impose limited bans on public speech in order to ensure equal participation of arguers in argumentation. Finally, I propose the notion of argumentative disobedience to describe communicative responses to hate speech that aim to bring bystanders in line with the position of social movements in public debates.