I heated (in a 900W microwave) some pre-cooked, shop-bought barbecue sauce-covered chicken wings. Unfortunately, instead of doing so for the required two minutes and thirty seconds, I only heated them for 1 min 40 secs. When we started to eat them a few minutes later, they were noticeably lukewarm. We didn't eat much at all, but I am worried about food poisoning. Are we likely to fall ill?