Welcome!! A while back a “grown-up” member actually accidentally did what your child did. The member said he was reaching down to grab peanuts and he wasn’t looking and reached down and grabbed a poo and stuck it his mouth. Gack! Other than feeling a little green from being grossed out, he was just fine.
I can’t imagine that bunny poo could make someone sick (not worse than all of the other things kids stick in their mouth). Normally worms aren’t a huge worry with house rabbits, though it’s not impossible — but normally if they do, their poo is very mushy and wet…and gross (different than the normal dry fecals and wet cecals that bunnies get at night) But if you have any concerns, you can discuss it with your pediatrician.
When you get a chance — head over to the lounge and introduce yourself and share photos of your bunny!
EDITED: We got an email about this from one of our leaders that is a vet tech and she has brought up some very valid points that I think are worth considering and I have changed my view point on what action should be taken. See my next post