Scholars, states and organisations have warned that authoritarian regimes and other hostile actors are projecting information to inflict harm upon others. Yet, there is little agreement on the nature of this threat. This is mirrored in the plethora of labels in use, ranging from “disinformation” to “sharp power” and “information warfare”. In order to investigate this menace further, we turn our focus to ordinary people’s anxieties, since a better understanding of threat perceptions will also provide a better understanding of the problem. We conducted a comprehensive case study comprising focus group discussions (n: 97) and an extensive survey (n: 2046) among Swedish citizens. We asked: To what extent do people worry about information influence and why? What can this tell us about the nature of this problem or threat? The empirical results suggest that respondents were first and foremost worried about societal cohesion and democracy. They also identified a risk that information influence can undermine trust in societal institutions and the EU. Based on our findings, we suggest that “malign information influence” is an appropriate label to be used in future research. Finally, we propose directions for future systematic research on how malign information infuence is received and processed in different national contexts.