During the last decade, the Internet, and the social networks in particular, have gained relevance as spaces for interaction and socialization. The multiplication and penetration of social media, as well as the volume and intensity of interactions, have led to a migration of the public sphere towards these platforms. In this (apparently neutral) virtual context, where social networks contribute to the construction or amplification of social relations, the Internet is configured as a space of inequality where power relations and patriarchal practices are reproduced, amplified by the sensation of anonymity and its disinhibiting effect. This paper analyzes the presence of hate speech and misogyny in the Twitter conversation around 50 Spanish women with public visibility online and in the real world, belonging to diverse professional fields: science, communication, culture, sports, business, and politics. Based on an automated search for insults and other hate terms, a content analysis of the direct interactions and indirect mentions received by these women on this social platform over a period of 1 year was carried out. The results of this study highlight the toxicity of the Twittersphere for female users. Thus, 15% of direct interactions and 10% of indirect interactions directed at these women included some kind of insult or disqualification, although not necessarily of a sexist or misogynist nature. This violence is especially evident against women representatives of those areas with greater visibility and social influence such as communication and politics. [ABSTRACT FROM AUTHOR]