Here is a short video of my wonderful teacher Dr Nida Chenagtsang explaining about the spiritual aspect of Tibetan Medicine, in particular a practice that comes to us from Yuthok, the father of Tibetan Medicine.
Of course you don't have to follow buddhism to benefit from Tibetan medicine, Yuthok himself said it was for everyone. The Yuthok nyingthik is helping the medicine practitioner develop and expand their awareness, their compassion and to purify them so they are better able to help their patients.
While the practice can be done everyday there is also a special seven day retreat which I have been lucky enough to complete twice, once here in Australia with Dr Nida, and once in Tibet at the beautiful Gonlakha monastery near Rebkong.