Does cooked chicken go bad if not refrigerated?

yes Repeat after me. Any food should be unrefrigerated no more than 3-4 hours total during it's life. Since SOME unrefrigerated time is unavoidable during processing and transportation, you should never eat anything that's been unrefrigerated more than an hour. (This is true primarily for foods containing protein, but it only takes a tiny amount of chicken to drop into the rice to contaminate the whole, so use the rule for everything.) Also, rules about letting a food come to 'room temperature' before refrigerating were devised in previous decades, when refrigerators weren't as efficient as they are now. No matter how hot a food is, refrigerate it! Trust me, it's easier to discard some leftovers than to go through a real toilet-hugging, stomach-pumping bout of food poisoning.