They pulled a kidney out of her where?

Okay, I'm probably the last person to see this story about transvaginal kidney removal. Although the procedure has only been used about 300 times worldwide and is normally used to remove dead or damaged organs, this is the first time a donor kidney had been removed via the vagina (un-donateable kidneys, gall bladders and apendixes have also been removed via the vagina, anus and mouth). The benefit to transvaginal removal is that it's less painful and speeds healing time, although the medical community does have concerns about the possibility of transplanting potentially hazardous bodily materials, such as stomach acids or feces, with the donor organ. The woman who donated the kidney to her niece was chosen for the procedure because she'd had a full hysterectomy, but it's apparently possible to perform it without compromising a woman's fertility.

But how?

As we can see on our theoretically gender-neutral chart here, the kidneys are way up there with the stomach and liver, nestled on top of the intestines. The vagina, which is also attached to the uterus and ovaries, belongs down there in the bladder area. So, my question is, logistically, how does one navigate all the other viscera to get the kidney first into the uterus and then pull it out through the vagina without doing damage to the baby carriage?