OK, you're absolutely sure you're not menopausal. 100% sure. I'm just going to tell you my experience.
I have ADHD, depression, anxiety and spine issues. I've had these issues either for life or in the case of my spine 15 years. Menopause came along and affected every single one of my pre existing conditions. Literally left me the shell of who I was. I didn't realise that it could do that. I wasn't functioning at all, I couldn't leave my bed, I was on a one way path to the afterlife. I'm now on HRT, and I've done a full 180° my depression has eased, my anxiety is a little better, my ADHD is more manageable, and my back pain has eased up a little.
There are studies that show that sleep apnea symptoms can reduce by up to 50% when women take HRT, and 25% if ERT is taken. This is why the Dr suggested it. Sleep apnea is affected by Menopause. All you can do while you wait for a machine is give HRT a chance.
Menopause isn't just hot flushes, mood swings and stopped periods, it can display in a multitude of ways, and affects women in a multitude of ways.
Regarding the cpap machine, go to PALS and explain the situation to them, tell them how hard it is and how desperate you are, they can advocate on your behalf.