Although my English was excellent when I first moved to the UK, I had no idea what a cervix was for the longest time (even though where I come from I was having smear tests every six months as was standard for all women taking birth control pills).
Our word for the cervix refers to the "neck of the womb" and cervical cancer is "cancer of the neck of the womb", (all words I could translate into English). But because the English word has nothing to do with the word womb, I did not know what the word cervix referred to or what kind of cancer a cervical one is. I only learned it when I was pregnant and started reading books about pregnancy and birth.
Most immigrants I've met in the time since had far less English than me, and many had better oral than written skills. They all knew the word woman though. Not only because it's such a basic word and therefore a useful one to know, but because it belongs to the first few sets of words non-native speakers learn.
Cervix is specialised vocabulary, woman is basic. My friend who writes material like this was taught to aim for the most commonly understood terms and would have never written about a cervix or cervical cancer before first explaining what it is and who has one. Because you want to increase uptake. Which has been declining unfortunately and this kind of leaflet will not help at all.
I do wonder what the writers care about when I see this. Not being branded offensive? Or saving lives?
And this issue they're seeking to address would be much better approached by offering a link to a leaflet specifically for those female patients who identify as trans. (Much like there's often a link to leaflets in other languages).
Also, on a different level leaflets like this annoy me because they spread misinformation. It's not people over 25 who are invited for screening but female people. It's not everyone they want to attend regularly but everyone who is female.
And this omission of female where it absolutely would be required for minimum readability is hugely concerning. It's not just the word woman that is treated here as problematic but female. That is a much worse level of female erasure, well beyond what seems to have become the norm amongst captured organisations.