I will be 40 in a few mnths on depoprovera for 10+yrs recently hot all the time, perspire profusely even in air, estrogen levels are very low?

Depo Provera (medroxyprogesterone) is bad. I think ten years of depoprovera is too long. Most doctors do not like depoprovera for long term due to its side effects. This medicine can cause weight gain, acne, headaches, irregular bleeding, and bone loss. Change medications.
Yep. That's a side effect of depoprovera- as is wt gain and depression. Would consider getting an office sterilization with essure or adianna - or tell your spouse its time to man-up and get it done. As you get into 40's ovarian function tends to diminish so estrogen levels that were already low b/c of depo will get worse.