Abstract The COVID-19 pandemic imposed not only serious threats to the physical health of the population, but also provoked a wide range of psychological problems. Objective To identify the most vulnerable populations during the epidemic period (including individuals with affective disorders) who are most in need of psychological and / or psychiatric help. Material and methods On-line survey of 1957 Russian-speaking respondents over 18 years old from March 30 to April 5, 2020. The level of anxiety distress was verified with the psychological stress scale (PSM-25). Stigmatization of individuals experiencing respiratory symptoms was assessed with modified devaluation / discrimination questionnaire (PDD; Cronbach’s α = 0.707). Results 99.8% of respondents had variable concerns associated with COVID-19. Their mean scores of psychological stress were increased to moderate levels (104.9 ± 34.4 points), and the stigmatization scores exceeded the value of the whole sample median (19.5 ± 3.4; Me = 19). 35% of respondents had concerns about COVID-19 associated with anxiety distress (Cohen’s d = 0.16–0.39): these were “risk of isolation” and “possible lack of medication for daily use”. The most prone to concerns were respondents’ groups with affective disorders, young people (≤20 years old), unemployed, single, those without higher education and women. Conclusions Large sub-cohorts of the Russian-speaking sample need correction of anxiety distress associated with the COVID-19 pandemic. The implementation of such measures should be targeted and oriented in terms of coverage and content to identified vulnerable social groups.