There is no direct evidence that not having a hysto and being on T causes any problems. That said, problems can arise anyway. My doctor wants me to have one because she said there's no point having non-functioning ovaries. No benefit and a possible detriment.
There's a movie called "Southern Comfort" about Robert Eades, who developed ovarian cancer and couldn't get treatment because he was trans. He died of it. If refusal of treatment could be an issue where you are, that's another good reason to get them out.
Another thing to think about is that if you don't have one, you'll have to go in for pap smears and all of that. That to me is a good enough reason to have one.
The T shuts your ovaries down, but some guys report that they get better effects from the T when they have their ovaries removed, and some can reduce their dose of T. And, if you go off T or can't get it for a while for some reason, your ovaries can kick in again and you'll get effects of estrogen.
So it's not an absolutely necessary surgery, but there are good reasons to have it.
Dennis