"Duel in the Sun" (1946)
starring Jennifer Jones, Gregory Peck, Joseph Cotton, Lionel Barrymore
When her father is hanged for shooting his wife and her lover, half-breed Pearl Chavez goes to live with distant relatives in Texas. Welcomed by Laura Belle and her elder lawyer son Jesse, she meets with hostility from the ranch-owner himself, wheelchair-bound Senator Jackson McCanles, and with lustful interest from womanizing, unruly younger son Lewt. Almost at once, already existing family tensions are exacerbated by her presence and the way she is physically drawn to Lewt.
EDIT: Sorry! I was distracted and typed "Dust" instead of "Sun". I was thinking of a movie that spoofed "Duel in the Sun". Thank you for the Best Answer!