Could someone recommend some manhwa where the MC is a female doctor?
Doctor Elise
Yes to Doctor Elise! The only other ones that are kind of similar that I know are Villainess Lady Wishes to be a Nightingale (nurse) and Kusuriya no Hitorigoto (apothecary).
Doctor Elise is pretty good. Also, watch Descendants of the Sun if you like K-Dramas xD It's top tier.
https://www.mangago.zone/read-manga/an_animal_hospital_in_the_border_area/ (vet)
https://www.mangago.zone/read-manga/trapped_in_a_cursed_game_as_an_npc/ (apothecary)
https://www.mangago.zone/read-manga/the_ghostly_doctor/ (doctor)
https://www.mangago.zone/read-manga/the_crazy_adventures_of_mystical_doctor/ (doctor)
https://www.mangago.zone/read-manga/genius_doctor_black_belly_miss/ (doctor)
https://www.mangago.zone/read-manga/queen_of_posion_the_legend_of_a_super_agent_doctor_and_princess/ (doctor)
https://www.mangago.zone/read-manga/shen_yi_di_nu/ (doctor)
Manhwa where the MC is a rich lady and is able to fight too.