Why is it a chance? What’s the risk? A cowboy is no different, profession-wise, from any other traditionally male occupations.
I fail to see why this is even a concern. A cowboy is someone who travels a lot, has a potentially dangerous job, likely sweats a lot, and has specialized equipment and skills. And there is a certain amount of physical strain and activity in the job.
The same can be said for jobs like electrical lineman, plumber, lawn maintenance people. and so on.