Some people are not sport people.
I'm going to side with
@Jilly here (or, more precisely, her ex-coworker), because there are quite a few sports that I've tried that I just was not up for. Even now, when I try something and realize I just don't have the coordination for it, I try to shut up and just leave, because, if I say anything about my limitations, I get surrounded by people who try to find a way for it to work for me… often resulting in an injury. "Overcoming obstacles" is a great narrative, but often overrated.
When I teach counseling students, I tell them that it is the teachers' responsibility to let the student know when they are not suited for it. This is easy to see, since being a counselor is suited to a relatively small number of people, and the training can cost dozens of thousands of dollars. Still, I think the analogy holds for
any activity, sports or otherwise; there are people who are not suited for any given activity, and would be well-served by being told this, and maybe pointed toward a sport that is better suited to them. If this had happened to me, I would have returned to skiing much sooner! (And, no, I will not try skiing switch, or do anything that involves a spin.)
Now, in Jilly's particular example, the student's problem may have been more about not listening than having no physical aptitude. In that case, it could just have been a matter of finding another instructor who could somehow get through to her. Counselors do that with clients all the time: we are not a good fit, try this other person. If I try to keep a client who is not a good fit with me, things end up going badly. And then there are clients who don't seem to fit with anyone, and drift from one counselor to another. That doesn't mean they will never get better, but it could mean that counseling is not what they need. Maybe they just need to keep falling down the hill on their own, and enjoy it as best they can.