I have FM and have had acupuncture on the NHS - usually the physiotherapy dept have someone trained to do it.
However, it made the pain worse, that was when they could get the needles to stay in, because the muscles were so tight the needles just bounced back out.
Also, they dont look at it in the same way as the traditional principles of accupuncture. Instead, the NHS they see it as a way to stimulate the bodies own endorphins and increae blood flow to the affected area, and this means if the needles dont hurt as they go in and then get wiggled, it isnt working, so they use thicker needles (I still couldnt feel them as my pain levels run so high anyway, even normal cramp doesnt hurt me anymore

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However - accupressure does seem to ease things a bit for me, and you can do this for yourself - if you can reach your trigger points, or someone else can do it very easily. My physio showed me how - you find a pressure point and press on it - this WILL hurt, so only press as hard as you can stand for 30-45 seconds.
I am doing this once a week - that is all - and I am finding a real sense of relief once the pressing stops and a softening of the muscles for a couple of days after.
Now - back to the original question about FM and Reiki - I tried that too, and all that happened was I was in agony after being in the same position for such a long time and spent about 3 days recovering. I also have Reiki 1 myself and find it really does nothing for me.
However, that is just my experience and I agree, when you are in pain, you will try anything.
Hot wheat bags, magnesium supplements, massage (by someone who wont do more harm than good, mind you) are all things that will give some relief, (or they do for me, anyway) but I have come to the conclusion after trying just about everything, even painkillers for cancer patients, that nothing does more than take the edge off the pain, unfortunately. But that doesnt stop me from still trying stuff - LOL.