If you can give one more detail, I can pinpoint the exact game. Otherwise, (NDS/Wii) is the most likely "serious medical game with female protagonist" you're thinking of — and some fans might have called it "Fujio Girls" in error.
: A highly stylized medical drama game series for Nintendo platforms that features anime-style female assistants and surgical gameplay. fujio girls medical game
The following article explores how these two worlds—competitive medical excellence and educational medical gaming—intersect for young women today. If you can give one more detail, I
The game’s "bishōjo" (pretty young girl) art style makes the experience feel more like a lighthearted adventure or puzzle game, despite the realism of the medical scenarios it depicts. Educational and Cultural Impact However, most games treat the hospital as a
The medical fetish (known in Japanese as kango fuzoku or hakui kono ) is a staple of otaku culture. However, most games treat the hospital as a backdrop for absurd scenarios. Fujio games are unique because they actually teach basic medical terminology. Fans report learning the difference between a sphygmomanometer and a ophthalmoscope just to impress the in-game characters.
: A popular 1990s magical girl series where the protagonist is a "nurse" fighter. It had various tie-in electronic toys and simple LCD games.