Physical Danger
Just because they call it softball doesn't mean it's not hard on your body. While softball players don't sustain as many injuries as football or baseball players, they're prone to upper-body issues (source), especially in the shoulders, back, arms, and wrists.
Because of the windmill-like motion of their pitches, pitchers tend to grapple with shoulder tendonitis, back, and neck pain. Other position players, such as catchers, deal with sore backs and knees, and fielders and batters battle elbow, arm, and leg strains.
Of course, just like any sport, softball can be unpredictable. You could step on the base in a weird way and tear your ACL. You could dislocate your shoulder from an overly spastic pitch. Or, like this poor player, you could suffer a line drive to the face. To the face. No amount of stretching and warming up can prepare you for that. But for all the other injuries, it's important to take care of your body, both on and off the field.