How long can cooked chicken last unrefrigerated?

[Elle]

I got a chicken cheesesteak for lunch today, and only ate half of it. I put the other half in my lunch container to save for dinner tonight and put it outside on the window ledge by my classroom door, since we don't have a refrigerator at the school where I work. My lunch container was in the shade, and the temperature was in the upper 40's today, but it did sit there for 3 hours until the end of the school day, not counting the 45-minute drive home. Is that temperature cool enough that the chicken didn't go bad, or should I just throw the other half away? Thanks! : )

[BrettWilson]

I'd say a few hours but after that, throw it away