temperature is not a concern, Life can exists in a relative large range of temperatures. The problem is the speed of temperature rise, that is incompatible with

temperature is not a concern, Life can exists in a relative large range of temperatures. The problem is the speed of temperature rise, that is incompatible with the speed some species can migrate from now-hostile areas. Dinosaurs didn't died because the asteroid hit their head, but because of the abrupt climate change triggered by it. The key word is "abrupt" not "change".