If it is dead, wrap it up on a bit of paper and put it in a bag. you can then chuck it in the bin. if its alive, you have to work out how to kill it, quit a few threads on that subject, then do the same thing.
I just bury them (about 3 spades deep) My wife puts 'em in the deepfreeze & when the litter is collected, she puts them out in a sealed plastic bag.
Reminds me... I once had a family at the front door, with a dead goldfish, which I had to tell 'em what's wrong with it.... I merely said that it is dead and chucked it over the back fence into the veldt.... Oh!! my!!.... big mistake!!!.... They climbed over the fence & retrieved the body for a proper burial ceremony....... (how could I be so insensitive)??
and minx the watersupply here in summer was contaminated with cryptosporidium from a dead rabbit in the supply so nobody could drink tapwater for about 4+ weeks i dont remember how much exactly. so yes its a real threat. just get an african sidenecked turtle. but not a white one like mine