This is nonsense, your life is worth the carbon footprint of AC.
Install Air Conditioning NOW if you are even remotely at health risk, you don't do anything for the world suffering in pain during a heatwave which if it doesn't kill you may do permanent damage to your body.
You don't have to use the AC but you DO need it, heatwaves without AC are terrifying please give yourself permission to treat your body kindly.
You aren't the reason Climate Change is happening, put that burden down and keep only the self awareness and introspection part of that thought complex.