“The fact that some doctors shake hands”
But ALL doctors shake hands. You cant be a doctor and not shake your patients hand. What about a male physical therapist?
“Being permitted to do so demonstrates…”
No, my point is if its Yehareig V’al Yaavor which is based on neheneh b’kriuv basar, why is it permitted to do so? Also please answer from the shach about a doctor, how would this be mutar either. And also how is it possible for one to be a doctor (and many other professions) without shaking women’s hands.