I will most likely tell them to dip those disgusting little partially-external organs into a vat of acid, then incinerate said vat of acid, fill the incinerator with liquid hydrogen, pack the whole thing into a space shuttle and send that shuttle in a crash course to the Sun.
Much ado about a body part that never was a part of me. But when I say "I'm going to get rid of X" that is what I mean with it.
Anyway, they're most likely not going to do exactly that, but as long as the medical personnel at least do something involving very potent acids and/or incineration to them, I'm not complaining.