Inclusion Criteria for Baseline Mammogram and RPFNA  Inclusion Criteria:  Current vasomotor symptoms (hot-flashes, night sweats or both). These do not need to be frequent or severe, but should occur at least once a week. Women who feel that they would likely need a supplement or be at high risk of withdrawal if they were randomized to waitlist because of vasomotor symptoms are not good candidates for this trial. Menopause status: late menopause transition (have missed 2 periods within past 12 months) or postmenopausal (no periods for 12 months or more) with an intact functional uterus. Intact Functional Uterus: have missed at least 2 periods in the past 12 months in the absence of a Mirena IUD or oral contraceptives which suppress menses.  Prior hysterectomy or prior endometrial ablation:  Age 45-49, vasomotor symptoms and a FSH ≥ 25 mIU/ml or FSH in the postmenopausal range specified by the local institutional laboratory. Age ≥ 50, vasomotor symptoms only (no requirement for FSH) Must have at least one ovary. BMI: ≤ 35 kg/m2 Two breasts without prior therapeutic radiation Chemistry profile showing reasonably normal renal and hepatic function: creatinine <2.0 mg/dL, bilirubin < 2.5 mg/dL, and albumin > 3.4 g/dL within the past 12 months (determination is made at local site).  Risk Factors/Level. Moderate risk of developing breast cancer based on having at least one of following:  First or second degree relative with breast cancer age 60 or younger; A prior breast biopsy showing proliferative breast disease, including hyperplasia, atypical hyperplasia, or changes designated as lobular carcinoma in situ without evidence of pleomorphism 2 or more prior biopsies regardless of benign histology Women with known gene mutations associated with an increased risk for breast cancer such as ATM, CDH1, CHEK2, NBN, NF1, PALB2, PTEN, STK11, P53, PTEN (Note: BRCA1/2 are excluded as women 45 and over should have undergone risk-reducing bilateral salpingo-oophorectomy). 10-year relative risk of ≥2X that for the average population for age group as calculated by IBIS Breast Cancer Risk Evaluation Tool version 8 (Tyrer-Cuzick) (http://www.ems-trials.org/riskevaluator/); or a 5-year Gail Model Risk of ≥2X the average risk woman for age group (as calculated by the NCI Breast Cancer Risk Assessment Tool, http://www.cancer.gov/bcrisktoolmobile). Average risk for women in the same age-group is based on the Surveillance, Epidemiology, and End Results (SEER) Program provided by the NCI (http://srab.cancer.gov/devcan/). Vaginal Hormones: Low dose vaginal hormones, such as Estring(®, Vagifem®, or 0.5 gram or less of conjugated estrogen vaginal cream twice weekly or less often, for vaginal dryness and dyspareunia may be continued at the same dose. Systemic Hormones: If previously on oral contraceptives or hormone replacement, women must be off for 8 weeks or more prior to baseline mammogram and RPFNA.  Exclusion Criteria:  Have a predisposition to or prior history of thromboembolism, deep venous thrombosis, pulmonary embolism, stroke, or myocardial infarction Prior bilateral oophorectomy BRCA1/2 deleterious mutation (these women should have both of their ovaries and fallopian tubes removed) Pleomorphic LCIS, DCIS, prior invasive breast, uterine or ovarian cancer (estrogen dependent neoplasia) Current renal or liver disease or clinically significant abnormalities of liver and renal function tests. Women are sufficiently distressed by their vasomotor symptoms, such that they do not believe they would be able to remain on study for 6 months without additional medications if their hot flashes were not relieved. Any other condition or intercurrent illness that in the opinion of the investigator makes the woman a poor candidate for RPFNA or treatment with BZA+CE. Current anticoagulant use (must have discontinued for 3 weeks prior to FNA) Taking oral or transdermal systemic hormones within two months (eight weeks) prior to baseline blood, imaging studies or RPFNA. Taken tamoxifen, raloxifene, or an aromatase inhibitor within 6 months of baseline blood imaging or RPFNA  Inclusion Criteria for Intervention Phase:  BIRADs Class I-III mammogram suitable for assessment by Volpara® software, and retention of raw imaging file. This must be performed within 3 months prior to RPFNA. Mammograms read out as Class 0 or IV must be resolved with additional procedures prior to RPFNA or entry on intervention phase. For women with very large breasts: the entire breast must be able to be captured in one view. Women whose breast size require mosaic views will not be eligible. Volpara® determined breast fibroglandular volume as read at site or KUMC must be evaluable on both breasts and total at least 80 cm3 Sites with Volpara® assessment capability: If the criteria above are met, the Volpara® clinical report is sent to KUMC (pdf format is acceptable) and the investigator may proceed with RPFNA and additional screening. However, the raw imaging file (DICOM format) must still be received in KUMC central repository prior to stratification and randomization. Sites without Volpara® assessment capability: The raw imaging file (DICOM format) is sent to the KUMC central repository and KUMC notified. KUMC will confirm within 24 hours that the file has been received and whether screening with RPFNA may proceed. RPFNA specimen must be received at KUMC in good condition and cellular enough to provide a minimum of 500 epithelial cells on slide(s); but there is no requirement for a specific value for Ki-67 or cytomorphology. Willing to comply with study procedures. Willing to have fasting blood drawn at baseline and 6 months. Willing to have dual energy x-ray absorptiometry (iDXA) at baseline at KUMC. DXA is optional at other sites. Willing to have a repeat mammogram and RPFNA at 6 months following initiation of study drug. (12-month mammogram for waitlist control only is optional) Willing to provide personal health history, family history of breast and ovarian cancer Willing to undergo a physical exam including weight, height, and waist measurement at baseline and 6-month visit Willing to complete Menopause Quality of Life (MEN-QOL) questionnaire and a hot flash assessment at baseline and 6-month visits Able to understand and willing to sign consent for study participation If less than age 55, and uterus is functionally intact, and menstrual period in past 12 months and husband/partner has not had vasectomy, must be willing to use non-hormonal contraceptive precautions.  Exclusion Criteria for Study Intervention (Randomization)  • Medical: Intercurrent illness which makes potential participant unsuitable for study; development of clinically significant abnormalities of liver or renal functions; or started hormone replacement therapy between mammogram/RPFNA and enrollment on study.