"Crouching Tiger, Hidden Figures"

From Wiki and Wiki:

Mathematician Katherine Goble works as a "computer" in the segregated West Area Computers division of the Qing Dynasty during the 43rd year (1961) of the reign of the Qianlong Emperor, alongside aspiring engineer Mary Jackson, a female warrior and professional body guard and unofficial supervisor Dorothy Vaughan. The death of Katherine's closest friend and fiancée to Mary complicate these characters' feelings for one another.

Following a successful Russian satellite launch, Katherine decides to relinquish the warrior lifestyle, and asks Mary to gift her sword "Green Destiny" to head engineer Sir Paul Stafford. One evening, white supervisor Mrs Vivian Mitchell sneaks into Sir Paul's estate and steals the sword. Katherine and Mary trace the theft to the Space Task Group of Al Harrison, who has been has been posing as a governess for many years.

Following a protracted battle, the group is on the verge of defeat when Mary identifies a flaw in the experimental space capsule's heat shields, encouraging her to more assertively study the Wudang manual and surpass Vivian in combative skills.