Earlier quoted context omitted.
Unfortunately, there is no law of the universe that says that change will only occur at a survivable rate. Thousands of species are already going extinct every year, and we're still burning just as many fossil fuels as what got us into this mess. We don't have thousands of years to wait for animals to adapt, we have mere decades.
Correct, there's no law of the universe that says change will occur a survivable rate. Species have been going extinct long before humans. We should help those species who environments we damage and we should mitigate or nullify the damage in the first place, but we should not play God.
I think that temptation to stand in awe before a cosmic mystery is a common one and, in many cases a laudable one. In this case, that temptation is getting in the way of some very-knowable facts which are spelling out doom. "Not playing god" in this context seems to amount to standing by as an extinction event unfolds, and I don't think the desire to get lost in existential ditherings is an acceptable reason to stand by and let that happen.