A sixth nerve abducens palsy makes the eye turn medially, giving the eye a crossed appearance. This esotropia is worse when attempting to look toward the side of the lesion. Abducens palsy can be caused by vasculitic processes like hypertension and diabetes. It can also occur in the setting of high intracranial pressure. A subtle abducens palsy can often be seen in cases of pseudotumor cerebri.
Hillary has some sort of lasting neurological damage. I think in the video she had an episode of palsy and tried to cover it up with her absurd head-bobbing. She is taking blood thinners since her concussion and on meds for hypertension as well. She has increased intracranial pressure,which is a serious medical problem. The pressure can damage the brain or spinal cord by pressing on important structures and by restriction of blood flow to the brain. This can result in death, permanent neurological problems, seizures, or stroke.
She is not a well woman.