No, life in general would be fine. It will be (already is) a mass extinction but earth had a couple of those and life will bounce back.
I even think humanity will survive fine as many icy places will become habitable and we’re good at adapting to extreme climates. Overall it’s rather our current civilisations with the bad but also the good in them that are the most endangered.
The question is on a scale of the extinction event at the end of the last ice age to the End Permian Extinction Event aka the Great Dying how bad do we want it
You say that as it’s not a big deal.
Do you really want to see a world without dolphins, pandas, tigers, anacondas…?
The worst case scenario is turning Earth into a planet with a climate like Venus’s.
A planet that proves the existence of runaway greenhouse effects btw.
It is theoretically possible that life exists there, but multicellular life is considered unlikely, and we’ll probably never get to take surface samples, given it’s been measured at 464 Celsius.
We probably can’t fuck up the planet that badly, but toss in a nuclear exchange to greenhouse effects and an unfortunate volcanic eruption or two?