letting your kid play with dead animals is retarded. what the fuck kind of message does that send to them. next time you happen to not be around, the kid finds a dead bird and plays with it, then goes inside and eats something with her hands.
or worse yet, the animal actually isnt dead but just knocked out, and when it comes to, fucking mauls the shit out of her in fear.
i certainly wouldn't start losing my shit if i saw my theoretical child doing that, but i would definitely let her know that you shouldn't touch dead things, like i'd let her know not to touch weapons or go into cars with strangers, and i would make that point very clear and not fucking giggle about it on a video camera.
sure, nothing is LIKELY to happen to her, but why risk it? if you can avoid touching dead things, please do so. i can't think of anything positive that can come out of the whole situation, but i can think of a few bad things. dont just play with it because you CAN and you PROBABLY wont contract any sort of illness..
there's a difference between being overprotective and sheltering your child from the horrors of real life and teaching them to not do things that can only end up badly.