@MarXX Unless your overclocking, a stock heatsink with a suddenly broken fan won't fry your CPU, however, it will turn the PC off.. and unless you directly know the issue, you wont have any problems...
@firelex18 your temps are fine while gaming, but better try running Prime 95 for 15 mins and note your temps, if it's still good after that, then you won't have any problems with your stock cooler.