This is not a placibo effect. Scientists have studdied the effects of effeminization of male rats with the use of estrogen. The studies have shown that the male rats take on female traits as well as mating rituals.
Some of us are born at birth with a cross-wired brain, so to speak. the GDD (gender dysmorphic disorder). the feeling deep inside we are of the opposite sex that we were born to be. Often time a chimera effect is also involved (intesexed conditions such as ovo-testes)
The use of these estrogens and phyto estrogens has a calming effect and a "completion" of who we are mentally, it helps ease the GDD to a degree and helps complete the goal of becoming who we want to be vs who we perceive in the mirror. it is almost a 'correction' of Nature's error.
Sometimes, our parents have the key in their genes, be it use of illicit drugs or taking prescriptions during pregnancy that upsets the chemical balance. At one time women were prescribed meds to prevent miscarraige (progesterone i think) and it was found to have adverse effects in the unborn child (GDD), it was discontinued as a prescribed use for miscarriage.
I am happy for you that you feel better. Hope this helps put the puzzle together for you