If I recall correctly, a Military Emergency triggers when a major civ that is winning captures another major civ's city.So, what is it that triggers a military emergency?
When Suleiman did ultimately capture Cahokia, the net result was 50 grievances. Barely enough to negate my denouncement. No emergency triggered.
A city state emergency can possibly still trigger though, but some affected party needs to propose it I think. Not sure.