The two items I posted on the Coronavirus page that address this, only tangentially address climate. One was in Deutsche Wella that addresses myriad questions. https://www.dw.com/en/where-did-coronavirus-come-from-how-long-does-it-last-on-surfaces-your-questions-answered/a-52871421
And the other is the one shared by Don Gauthier from the NYT on the virosphere: https://www.agricanto.org/uploads/5/2/6/3/52634281/welcome_to_the_virosphere.pdf
The animal reservoir and proximity to humans is probably more related to the monopolization of agricultural land than climate per se. But the geographic range of pathogens can be changed by climate change.