The Apothecary Diaries, volume 9 by Natsu Hyuuga

In which strict gender rules compel our hero to abandon becoming a
physician in favour of becoming a woman with all the skills, training,
and duties of a physician who is nevertheless not formally a physician.

This is one of those oddities that doesn't really fit into regular
genre conventions. It's definitely secondary universe but not
fantastic.

https://jamesdavisnicoll.com/review/gimme-the-news
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