I think engineering plays such an important role because it is the way that we humans are able to use the rules of the world to achieve things.
Physics, Chemistry and Biology teaches us how the universe works, it gives us all the instructions we need as to how things interact and move and bend and bubble and fizz and bang. Engineering is our way of taking these instructions and using them to make the things that nature didn’t give us.
For example we can use the science of physics and forces to calculate how to use wood to make a bridge over a river. Nature hasn’t given us the bridge, but we have been able to work out the rules from science of how to make one ourselves using engineering.
Engineering is so important to life because it is everywhere. Without healh zone engineers, doctors wouldnt have the equipment they have to image inside your body, to perform surgeries, to use a microscope to look at cells or machines to sequence our DNA!!! Engineering solves many problems that no other field of research can.