I don't know how much these concerns are due to weight, but you might find my experience helpful.
I have had medical issues due to weight, and one specialist told me I should stop taking estrogen. That wasn't going to happen. To cut a long story short, I increased it instead and felt so much better I managed to get my weight under control, and now I don't have medical issues anymore. Its absolutely amazing what losing weight has done to my health, but I could never manage it when I was depressed.
I lost weight by pretty much starving myself, and with the help of a prescription diet drug. I did no exercise; it was hard enough sometimes just standing up. It was a bit extreme, but I had a period of motivation and wanted to take full advantage of it.