This isn't just a woman problem, though there is a possibility it can stem from various things. That you identify it as a seasonal thing tends to make it look like the person above said, some type of difficulty with winter and short days. This is nothing new, particularly for people in the northern latitudes.
You may have to try a variety of things to find what gives you some relief.
I can relate what I have done this year once I clearly saw the pattern, and maybe you will find something useful.
Finally read up this past summer on light and sleep patterns. I live near the 45th parallel and have Scandinavian heritage. Working inside for two years made me so depleted of light that I could barely function by spring. I used to work outdoors a lot, so even in the winter I was getting natural light all day. Being in an office and tied to a desk is like being in prison with all artificial light.
I realized that it was a combination of mental stress and physical stress. This year, by Holy Week all I could do was cry. I took days off of work to go to Holy Week services, but instead sat home and cried in the sun for hours. After months of having grief sit on the back burner compounded by stress and lack of light, I was also dealing with multiple significant losses at the time, I cried it all out and just took time to grieve. Two days of sun and just letting go of situations over which I had no control and it was completely over and I felt fine for Pascha.
This year, made sure I got a lot of sun on my skin through the summer despite all the naysayers who have declared the sun to be poisonous. I don't believe them. In moderation, sun is essential. I walked in the morning and evenings to get sunlight, and make sure I get out in whatever winter light I can, though having to work inside a building from dark to dark on short winter days makes it difficult.
I take magnesium citrate too.
My neighbor gave me his dog to take care of while in rehab and surgery, but ended up leaving the dog with me. This dog is tiny, but hyper, and forced me and my old dog to step up the pace of our walks. We increased our walks by about 2.5 miles a day and hardly miss a day. This is a gift from God, because the old dog and I could find a lot of excuses to not push ourselves. I had severe cardiac arrhythmia due to a work accident and was afraid I would have and attack and fall and hit my head and no one around to help, or sometimes my heart would randomly stop beating, sometimes I couldn't walk ten feet without fainting, so I would not leave the house for nearly a year and he is getting arthritis. The little yappy dog who I thought couldn't make it around the block can run forever and it doesn't bother him one bit. He HAS to have a walk everyday or he gets hysterically yappy and aggressive.
The neighbor last I know was getting along well, though he had to have the main bone in his arm removed due to a intravenous meth using problem. His arm had rotted through all the way to the center of the bone. He was pretty much homeless, but maybe couch surfing around and slowly getting his health problems in order. And I think I have problems?
Realize that when you are getting down, it is more difficult to brush things off, they tend to bother us more. It becomes a cycle. So I have to constantly practice shifting my thoughts. For awhile I thought I was insane, because I would intensely focus on things that bothered me even when I didn't want to. I chatted for a few minutes in passing with a priest who has actual mental health / psychology education and he assured me that it is the degree of behaviour that defines something as mental illness. People go through this sometimes and it's not necessarily mental illness and to just keep trying. Going to Confession also helped tremendously. Eventually I got my brain back from my job. If you have the type of brain that once it sets on a problem it intensely focuses on things and analyzes from all angles, it just takes persistence. What made me an honor student and an outstanding performer at work also makes me crazy at times.
Reading the Ladder also helped me, but may not be for everyone. I just basically prayed a lot more.
Realize that you aren't the only one who feels this way in the winter months. I've even talked with priest or two who struggled with it as well.
Try to reach out to others who need to know that someone cares about them. There is nearly always someone with more difficult struggles. I was lucky that the person I checked in on is a wonderful caring person who tries to remain cheerful and kind despite how abysmally horrible his physical, social, and financial circumstances are.
The above suggestion about diet and getting on a schedule is great. Sounds like you are already aware. I had to eat more protein than normal to begin to regain health. Starting the morning with protein helps give me better stamina throughout the day. I eat more in the morning, less at lunch, sometimes nothing or very little in the evening. When I didn't have work due to illness, I usually only ate once a day, which isn't healthy for everyone.
If you are not working, you may not be that tired, so sleep is more elusive. But if you read up on the effect of light on sleep patterns, you will see that waking up at odd hours is a symptom of light deprivation. It can also be depression.
Realize your circumstances are temporary. Things are always changing around us. I went from being seriously ill with no insurance, no one to help, had no work, to a major career change and being completely inundated with stress on every possible level. It's how we deal with the various forms of stress, our reactions to it. Our faith teaches us to strive to be inwardly peaceful no matter what happens. Keep going and don't give up until you achieve it.
You are a wonderful, wondering, kind person with many other virtues.
'...Truly, fasting and sleeping on the ground are set before us on account of our sensuality. However, if illness weakens this sensuality, then the reason for these practices is superfluous. For this is the great asceticism: to control oneself in illness and to sing hymns of thanksgiving to God
'...So how are we to distinguish between the divine or royal asceticism and the demonic tyranny? Clearly, it is through the quality of balance