The Misfits (1961)

Roslyn Taber, the type of woman who turns heads easily, recently came to Reno to get a quickie divorce and has no idea what to do with her life afterward. She cannot tolerate seeing animal suffering, let alone human suffering. Coinciding with getting the divorce, Roslyn meets divorced, aging grizzled cowboy Gay Langland and his friend Guido, a widowed mechanic. Although Guido makes no bones about wanting to get to know Roslyn in the biblical sense and although he "saw her first", Roslyn begins a relationship with Gay, despite Roslyn's friend Izzy Steers, who originally came to Reno years ago to get her own divorce and never left, warning her about cowboys as being unreliable, and despite Roslyn initially not being interested in Gay "in that way". Gay has grown children who he rarely sees. Gay and Roslyn move into the under-construction farmhouse owned by Guido, which he was building for his wife before she died. After spotting a small herd in the local mountains, Guido convinces Gay to do some mustanging--capturing wild mustangs--to sell them. In this day and age, these mustangs, commercially, are good only as dog meat. Needing a third for their outing, they run into Perce Howland, a cowboy acquaintance, who is on his way to the Dayton Rodeo. He recently started the itinerant life out of necessity. Perce lives day to day, job to job, that is when he's not in the hospital recuperating from his many on-the-job injuries. They are able to convince Perce to join them after his events at the rodeo have concluded. Perc is just the latest to fall for Roslyn, while of the three men she feels the most protective toward Perce as the constantly injured one. The questions become whether the friendship and business of the three men can withstand the addition of Roslyn in their life, and if Roslyn can love any of three after seeing firsthand what their life is all about.

IMDb: https://www.imdb.com/title/tt0055184