Sorry, but subdural hematomas between the skull and the brain cannot be treated with anti-coagulants. They have to be monitored very closely and then, if necessary extracted by surgery. Anti-coagulants present the danger of enducing a stroke-like response in the patient that could quickly result in either a serious, permanent debilitation or death.
It's the area just behind the right ear where Hillary has her concussion, which of course, would be all but impossible if she had received the concussion from 'fainting". Normally, a person receives what is referred to as a "star skull fracture", on the point of the rear-most part of the skull. That is because of the star-like spread from the centre of the point of contact.