You can't trust coretemp, realtemp, everest, speedfan, even your BIOS temp readings. Unless your motherboard has it's own temp sensor under the processor.
If it doesn't feel warm at all, then you should be safe. If you want to confirm, then try this: turn off or unplug the fan on your TRUE, and feel it after a few minutes at idle/load. I think you should be completely safe doing this, as there is no way you're going to damage your processor if the heatsink doesn't even feel warm.
I have an e8400 running at 3.6GHz and every program I use to read temps tells me that I'm at 65-70C load, but my tower cooler feels barely above ambient. If I turn the fan off, it goes up to 80C, and it's just beginning to feel a little warm.