Quick question for the legalfags reading: if I am an organ donor am I able to specify in my will (or via a discreet instructional tattoo on my pelvis) that I absolutely 100% do not want my ladyparts to end up inside a man after I die, if I live long enough for this to be happening being attempted regularly? Because if I can't then I'm rescinding permission for anyone to use any of me, frankly.
Short answer: as usual, it depends on where you are. As a general public policy point, they want as much donation as possible, and no racial/sexual discrimination, so any system will try to meet those aims. I therefore doubt you could specify that your organs could only go to one sex or race. Doctors will often try to match races anyway because they think it improves chances of success, but that’s not the same as saying „muh kidneys are only for the glory of the white race”.
Even if you could, any preferences or directions for organ harvesting should not be done via your will or tattoo wherever you live. It’s the sort of information needed before your death (which knocks out your will, because no-one will have a copy of that in ICU, and tattoos because no-one’s reading them and they’re not taken as legally binding

).
Let’s say you still want to donate. Register as a donor (either for transplantation or research or both) and let your next of kin know. The next question then is what can you register to give. The
general registration form in the US has this sneaky fine print:
Basically, everything is for the taking. I can’t see what restrictions you might impose because that requires registration to see, and I’m not that curious. Where I live, you can ask for certain organs not to be removed, and perhaps that is the same in the US system. You can definitely rescind permission in the US once registered. If you’re in the US and you really want to donate, register, see if you can exclude your ladyparts once registered, and if you can’t exclude an organ then rescind permission completely if uterus transplantations become a thing.