No, transwomen do not have uteruses or ovaries. Transwomen cannot menstruate or bear children.
No women fail to menstruate. It comes naturally.
Their body
yes
Yes!
They had peasant women menstruate for them!
No, trans women do not menstruate or have a menstrual cycle.Trans women don't have a uterus or ovaries, many trans women also don't have vagina's, and thus without the female anatomy they do not experience a menstrual cycle as cis women and trans men. Trans women who take hormones can experience menstrual cycle symptoms, their hormones can be similar to cis women so they may experience hormonal shifts like cis women. PMS is also a social construct so they can experience PMS symptoms like cis women.
I'm not sure what you mean asking if it 'gets to them'. Most women menstruate, this is a normal occurrence so no reason for it to bother other women when you menstruate.
They suffer iron loss when they menstruate.
No, not every female gets her period. If talking exclusively of those who are biologically female there are those who don't have the anatomy to menstruate or their bodies don't produce the hormones needed to have a menstrual cycle. Pre-pubescent girls don't menstruate and women past menopause don't menstruate, also women who are pregnant won't menstruate during pregnancy (sometimes for longer if they breastfeed), and women who have a hysterectomy to remove the uterus.
Usually anywhere from three to five days.
Not necessary and a little overkill. Not all women menstruate and when they do it's not for long and at monthly intervals.
Some men wear tampons for the same reason anyone would use tampons: they menstruate.Some men have a vagina and a uterus so will still menstruate and so need to use tampons, pads, or cups in order to deal with that, just like women who menstruate. Some men will also use tampons to deal with nose bleeds, they are the perfect shape to fit into the nostril to soak up the blood.