Active_comparator: CPAP Group

Participants randomized to CPAP will initiate CPAP therapy at the beginning of the study.

Placebo_comparator: Delayed CPAP Group

Participants randomized to delayed CPAP (waitlist control) will initiate CPAP therapy immediately after 12 weeks. The investigators recognize that adherence to CPAP therapy is a common barrier to effective clinical treatment of OSA and to rigorous research on CPAP and has been significantly correlated with improvements in insulin resistance, including in a small of study of women with PCOS. After receiving this device, participants can meet with a study psychiatrist and his team within 3 days of initiating CPAP therapy and as needed for up to a month after initiating therapy. No visits in this time period will be billed to insurance.