Before this goes any further you are going to have to realise that language matters. Not something I ever thought I would write to the Welsh government!
Given that nothing you include makes women's experience of menstruation any easier for men it seem ludicrous that you use the term 'people'. That's asking 50ish% of the population who have no experience of a thing to tell you how it should be done. Every woman will tell you that no man needs voice his opinion as he has no idea whatsoever of the experiences, needs or wants of any woman whilst menstruating.
And if you think this is being inclusive think again. No transwoman menstruates. Like every other man, regardless of how much surgery they may have had, they will never experience menstruation.
If you mean to include transmen, well just bloody well say so. Should a transman still menstruate they will know they are female and can answer, ask, take part etc. So try that, if you must make the effort to show how inclusive you are being: women and transmen.
And no, you REALLY don't need to get into all the "many other genders" because in 6 months all of that will be yesterday's news or will be some new way of self referencing, that again, nobody else will be able to keep up with.
Just ask women what women want. It really isn't hard!
And you never know, you might increase the confidence that 50ish% of your population has in you! Which currently, as with many political parties, stands at a all time low with many women. Mainly because we are not non-trans, non men, cis or any other daft nomenclature. We are women: Adult human females.
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Just thought I'd fill in the first box