The Warrior's Way (2010) on Netflix

Yang, the world's finest swordsman, packs it in and leaves Japan to find an old friend in the Wild West rather than kill the infant queen of a rival clan. He carries the baby to his friend's desolate, broken-down town; the friend has died, so Yang reopens a laundry and settles down, hanging wet clothes, growing flowers, raising the infant, and finding himself attracted to Lynne, a red-haired woman with a tragic past. As long as Yang keeps his sword sheathed, his rivals won't find him, but a band of reprobate gunmen terrorize the town and threaten Lynne. Showdowns are inevitable, but once the sword is drawn, can Yang find rest, a home, and a family?