Oh give me a break! There is nowhere near enough information in the original post to jump to any conclusions in regards to "this lady". To give any advice on this topic without further facts (i.e. diet, intensity of work out, etc) is highly irresponsible and mirrors the useless flailing seen in the medical community. Not everything is caused by some type of nutrient deficiency or blood sugar imbalance.
I sometimes have this after VERY high intensity HIT training. I'm guessing it's from glycogen depletion? Btw, do you actually get low blood sugar immediately following a workout? I thought the process of cleaving glycogen from its stores temporarily RAISED one's blood sugar?
I suppose if you've worked out past the point of glycogen depletion, you'd have lower blood sugar, but you'd also likely faint!
Ok. Not an answer but when I read this for the 3rd time I FINALLY realized you didn't say "why would someone shake hands after working out". Obviously my vision hasn't improved at all despite eating paleo. Sheesh.