Abstract: A brassier for reducing breast cancer includes cups for holding the mammary glands. Each of the cups has a slot formed therein for accommodating a papilla. Each slot is longitudinally elongated to accommodate for variances in the longitudinal location of the papilla from woman to woman. By positioning the papilla within the slots, the papillae are not subject to pressure and compression which inflict trauma on the breasts. The brassier for reducing trauma may include cup linings disposed within the cups. Each lining has an opening formed therein for accommodating a papilla. Each lining may also have protective material disposed about the opening to provide protection for the papilla when received within the opening.