Although born male, she would pose no risk to women/girls.
You think? Surgery doesn't always remove the impulse towards sexual aggression (if it was present before) exhibitionism, voyeurism, kinds of sexual assault which are not rape but are still much more common in males and don't change after surgical transition. Hormones can change the impulses but the results are not consistent. Certainly not "no risk".
You cannot assume that everyone who has had surgery is "safe". Even 30 years ago a transwomen told me there were mainly two kinds of transwomen who got surgery, well educated articulate professionals and people outside of society.
On a male ward, she could easily be gawped at/worse as she has boobs and all the bottom surgery.
And your friend wouldn't be gawped at on a female ward? Why not? Because women are too scared or too polite to gawp? Because women would be refused treatment if they gawp, while men would be allowed to gawp?
I imagine your friend would be in a side room to limit gawping opportunities either way.
It occurs to me that if a big fuss is made of this by TRAs it will only highlight it more to the public who aren't aware of what being trans often actually means in real terms.
Yes, making changes without telling the public is a TRA strategy (see the Dentons document). The NHS deliberately conflated sex and gender identity so they wouldn't have to tell the public that Annex B breaks the single sex policy. Or as the NHS put it, "the public wouldn't understand" by which they meant "the public would understand better than we do".