"I get tense listening to cd. I know that many people don't, so I'm not sure that their advice might apply to me."
Something is incompatible with digital in your system, fact is a system designed around analog will likely not sound good playing digital and your tenision with digital is likely more a reflection of your equipment's capability than your tastes and sensibilities. Please do not read that you have poor equipment, a Dirt Late Model is not the same as one made for asphalt. Though they are both very fast 358 cu inch cars and run on 1/2 mile circuits one is better on one surface than the other. Your audio system will likely be the same way.
Digital is very linear and its dynamic range is and can be disconcerting to listeners
Analog, compressed (RIAA), EQ, very non linear and is easier to listen too, highs are not linear and for equipment to playback. So the stress levels are down on all parts.
My system is designed around digital, I make compromises and adjustments on preamp and cartridge selection to adjust my analog accordingly to a system that will not flatter it. You may need to do the same (in reverse).