I recently (by accident) removed a processor from one of my computers. In doing this, until I removed the processor from the heatsink, it became impossible to install. Now, my question is, (since I didn't apply any extra thermal compund), will my processor run hotter? If so, do I need to use a better cooler, or simply add more thermal compound? The processor is a Intel Celeron 2.5gHZ socket mPGA478 with stock cooling inside of a Compaq S5010NX computer system.