What Jake said was exactly my first thought, too.
As he said, it sounds more like a trust problem than a height problem. I have no fear of heights at all, and it does not bother me to go up a mast to fix something -- but I am VERY uncomfortable with open net trampolines where you can see the water going by underneath. I guess it makes me feel very vulnerable, like at any moment the trampoline might break and I will fall through it.
I guess that is why I don't like trimarans that have trampolines between the main hull and the amas. And I don't like big cats that have netting between the bows instead of hard deck.
The suggestions for a dense mesh or vinyl for the trampolines might help her problem. Plus the idea of keeping her in the main hull, which is the same as being on a monohull.