But I don't see that she did any engineering, which is why al-Jazari is potentially interesting.
Regarding al-Jazari, the question is only how significant he really was, compared to the centuries older Greek engineers like those that produced, for example, http://en.m.wikipedia.org/wiki/Antikythera_mechanism
Importance is a matter of influence, I suppose. I'm sure there have been repeat discoveries in the past which have been lost to the ages due to a variety of factors. The ones that remained a part of stable civilizations are the ones we remember.
I am however suggesting that the Arabs and Turks haven't actually reinvented the art of engineering which was known in the antique times as they obviously invaded the exact places where that art was already present and that there must be some of them that found that art interesting who are the ones who preserved it in the times of religious fanaticism and destruction.
Regarding al-Jazari, the question is only how significant he really was, compared to the centuries older Greek engineers like those that produced, for example, http://en.m.wikipedia.org/wiki/Antikythera_mechanism