I would imagine she would pass what ever she ate with in 24 hours, so from now till then check her stool once she's passed and if you see any mucus or blood on it take her in, but if you see a stick in the stool and no blood she's probably fine
I always call my vet if I have any questions, you should give them a call if that will make you feel better, I am sure they will be able to give you some advice.
I've noticed a few things in Missy's poop that I was shocked she even ate, like the stick, a Q-tip and a little plastic foot to my sons army guy. She can be really sneaky and try to eat any little thing she finds on the ground. If I ever catch her sitting really quietly I have to check her mouth to see what she has!