My client had a total hysterectomy 6 years ago due to “heavy bleeding”. Will SMHW pay for a pap? The client denies history of cervical cancer. ← Show Me Healthy Women - Eligibility No. SMHW will not fund pap testing for women who had a hysterectomy for benign (non-cervical neoplasia) conditions. A woman with no cervix for reasons other than cancer, may have a pelvic exam, to establish that there is no cervix.