France didn’t exercise that level of dominance of Europe in the early 16th century. One could argue the coalescence of the Hapsburg power created a new rival for France, but it’s not as though France circa 1500 was exercising hegemony over Christian Europe.

Similarly the Ottomans had emerged and become dominant in their international system [Islam]and completely absorbed the remnants of the eastern Mediterranean system, and begun intruding on the edge of the Frankish/European system already before the Hapsburgs had come into their Burgundian, let alone Spanish inheritances, and thereby become a major power. So the Ottomans were no upstarts within the system, challenging the long dominant Hapsburgs. They were intruders from outside the system, whose challenge facilitated the rise of the Hapsburgs.