Idle temps of 60 are still too high. Your load temps shouldn't be going over 70 degrees. I would look into a cooling pad like this one. You can also remove the bottom panel over the CPU and GPU and put it on the cooling pad and that will help the cooling a lot more. My idle temps now are around 35 to 40 degrees with this setup.
http://www.newegg.com/Product/Produc...82E16834999336
There is a chance that damage could have occred, but the shutting down was to prevent that. An overheating CPU can cause a lot of problems, so that could be it.