A few other terms you might encounter. Texas Ten Day Free Look. This is a service provided by your insurer and is listed on the front page of your policy. The Ten Day Free Look allows you to go over and research your health insurance policy and should you be dissatisfied with the policy it can be canceled for a full refund. Tertiary Care is a term that refers to the services provided by surgeons, intensive care units, neurosurgeons, as well as others. This is usually covered under you medical coverage on your health insurance policy.