Sleep apnoea (SA) is highly prevalent in general population. It is a sex-specific respiratory disease with a lower incidence in women than in men but it increases after menopause. SA and nocturnal intermittent hypoxia (IH) predict the risks of metabolic syndrome independently of obesity, and in patients without comorbidities, SA is associated with insulin resistance. One of the most likely mechanisms explaining the SA-induced increase in metabolic syndrome is the oxidative stress (OS) induced by IH. There are clear-cut signs of OS in postmenopausal women that may be further enhanced by SA resulting in an increased activity of the sympathetic system as well as damages in adipose tissue, blood vessels, and in the liver. Estradiol is a potent antioxidant hormone. Recent experiments conducted in Dr Joseph laboratory demonstrated that in ovariectomized female rats exposed to IH, an ER alpha agonist decreases the level of "Advanced Oxidation Protein Products", prevents excessive mitochondrial ROS production, and the increase of arterial blood pressure. Oestrogens combined with a tissue-specific estradiol receptor modulators (bazedoxifene) are approved and available in Canada (Duavive) for the treatment of vasomotor symptoms and prevention of osteoporosis associated with menopause. The aims of this study are to compare OS in apneic and non-apneic postmenopausal women and to demonstrate that OS will improve after 3 months of treatment with ER alpha agonists (Duavive) in apneic post-menopausal women. 18 newly diagnosed women with untreated severe SA and 18 without SA will be recruited from the sleep clinic. Eligible subjects will be post-menopausal non-smoking women aged 30 to 65 years with a BMI less/equal to 35 kg.m-2, apnoea + hypopnea index \< 15/h (non SA group) or ≥ 30/h (SA group) on a polysomnographic recording. The study will be a prospective comparative trial. Following completion of baseline measurements, subjects will receive 1 tablet of Duavive (0.45 estrogens mg and 20 mg bazedoxifene) daily for 3 months. A follow-up phone call will be completed monthly, and side effects will be recorded. All measurements will be repeated after 3 months of Duavive. The main outcome is the levels of Advanced Oxidation Protein Products and malondialdehyde as a reflect of cellular oxidative damages. The investigators will also measure plasmatic activity of superoxide dismutase and serum nitrite + nitrate levels. Secondary outcomes are related to metabolic (anthropometric variables, biologic markers of glucose homeostasis, lipid profiles, orexin-A and liver function), cardiac health (arterial blood pressure, 24-h heart rate variability to measure cardiac autonomic function) and quality of life. Analysis: Differences between results obtained in each condition will be analysed using ANOVA. Statistical significance will be considered at p\<0.05. Considering the changes in OS observed with hormonal therapy in post-menopausal women and those observed with SA treatment, the sample size was determined to be able to demonstrate a 30 % difference in OS between SA and non-apneic women following 3 month of treatment with Duavive with alpha =0.05, 80% power analysis and a 20% drop-out rate. New avenues in postmenauposal hormonal therapy may have a huge impact on morbidity/mortality and a drug therapy should be more easily accepted that CPAP to reach this goal. These results should open the door to an RCT aimed at quantifying benefits of such treatment on metabolic syndrome features.