Women < 60 years: 10 deaths from covid-19 in total [0]. Four vaccine-related deaths were reported in young, relatively healthy women. Details on three of the vaccine-related deaths have been published [1]. One of the stories had been made public [2].
The astrazeneca vaccine was put on hold, if not, it's not hard to imagine the number of fatalities surpassing the number of covid-19-related deaths, even when ignoring comorbidities
[0] https://www.fhi.no/en/id/infectious-diseases/coronavirus/dai...
[1] https://www.nejm.org/doi/full/10.1056/NEJMoa2104882
[2] https://www.vg.no/nyheter/i/GaOr3l/monica-aafloey-hansen-54-...