This thread has been pretty helpfull for me to learn a little about fibro(just learned the lingo from reading the pevious messages).
One thing you may not be aware of is that Fibromyalgia typically is an "umbrella" diagnosis. When everything else has been ruled out, and the symptoms are consistent* with the category of Fibromyalgia, then that diagnosis is given.
*I highlight this because two people with FM may have radically different symptoms, and nobody can be judged on anything other than an individual basis. It's more like a list, and if you have 3 out of 10, or however many symptoms there are, then the diagnosis is given. Most of it deals with chronic pain and fatigue, and water can actually be a big comfort for pain sufferers.
My wife has FM. It mainly affected her in the mornings, but once she got going, she was fine. Until she ran out of energy, that is, but only she could be the judge of that. (I say was, because she's 5 months pregnant now and the game is completely different for us!

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I do feel the need to change the course from a full certification to a Discover Scuba program where they can try it before doing the full class. Or refer them to an instructor/program that might be better suited at accomodating divers that should have a little more assistance.
I wouldn't be so concerned to the point of turning them away - obviously, they feel their energy levels are such that they can tackle scuba diving. Putting them through a Discover Scuba program is a good idea, but I think the main thing is just to be responsive to their needs. Good communication is the key here, as they are the ones most likely to know and understand both their symptoms and responses to said symptoms. My wife would be most upset if she was excluded simply because an instructer either didn't understand, or assumed, her needs.
In our pool sessions and open waters, I would carry her tanks for her so she could reserve her energy for in the water. There was a time or two when she needed to call it a night, but that's true of anyone. That's pretty much the extent of accomodations that she needed. Sometimes she paid for her exertions the next day in terms of pain, but that was a choice she made for herself, and it did not affect her while she was actually in the water.
Bottom line, talk to your students and be receptive to what they need, but don't be paranoid about it. One size does not fit all.
