If you do take off the cooler, you would need to clean off the default thermal compound (from CPU and cooler) and apply new stuff to the CPU. That should probably be your next step.
I was thinking that I needed to do that. Two questions:
1. Do I need to remove the motherboard from my antec 300 case when reseating the cooler?
2. Do I need to remove the CPU from its holder on the motherboard in order to clean it.
I think the answer to both questions is yes but I want to make sure before I go through all this work.
Third question.. lol.. do you have a link to a good step by step for this procedure?