The CIA has death rates for 2014 by countries here:
https://www.cia.gov/library/publications/the-world-factbook/rankorder/2066rank.html. For USA it is 8.15 /1000. Lower in countries with higher birth rates (greater percentage of young) except when high infant mortality too and or very poor, then it is more than twice higher, as is the case in several African nations. In Europe, US and economically advanced countries, there are many places with air-conditioning, where "shelter" could be found during otherwise killing heat / humidity waves but not elsewhere.
Just to have easy basis, lets guess the death rate is 10/1000 where high temperature and humidity might increase it 20% during a week to 12/1000 in a populations of 10 million or cause an increase of 12E4 =120,000 deaths in a week extra due to weather extreme of global warming. That is well beyond what bad hurricane, floods, or other one week "normal" weather variations cause.
Thus, I would call 120,000 extra deaths in a 10 million population in a week due to unusual weather conditions a Global Warming Catastrophe. AFAIK, that has not happened yet, but does happen occasionally during major wars. I fear, that "business as usual" (~3% annually more CO2 released, and growing effect of about 30 to 35 positive feed backs* mutually re-enforcing their effects, separately consider) has more than a 50/50 chance of making that defined Global Warming Catastrophe during the next decade (2024 or before) but that is just my opinion.
This note to correct some earlier posts when I was rushed and not being clear - mixing things up.
* Albedo dropping due to ice & snow melting, soot deposits from larger more frequent fires, and Methane release from tundra and shallow Arctic waters being two of the most important ones AFAIK which act on decade time scale significantly. Interference with food production is probably more destructive but with a slower rate of change. (Jet stream wander, ocean acidification being the main drivers, I think)