This chart does not support the notion that oestrogen protects women from the virus. Researchers should be investigating why men aged 50-69 are twice as likely to be admitted to ICU as women of their age, when the rate for younger adults is roughly the same for both sexes. https://twitter.com/NicolaMedical/status/1259096027782623232

A chart further down the thread suggests that the sudden rise in ICU admissions for men over 50 is mainly due to existing health problems that are more prevalent in men than women. So oestrogen could be indirectly protective in this respect.