I believe you are:
the sun
I am named after something organic
According to Google the word "sun" comes from "son", as in a male child. "Old English sunne, of Germanic origin; related to Dutch zon and German Sonne, from an Indo-European root shared by Greek hēlios and Latin sol"
And yet I am not alive.
The sun is not alive.
I'm always being controlled,
We're controlling it by using it for heat, light, and the generation of electricity.
And yet I hold all of the power.
The sun is the original source of energy for the earth. Even fossil fuels were originally living things that were powered by the sun.
My only job is to create,
Creates light and life on earth. Alternatively, creates new elements inside itself through fusion.
and yet my only job is to destroy.
Burns constantly (both fission and fusion) until it will eventually burn out. Sunlight (UV radiation) is also extremely destructive.
I am used to help the world,
We can't live without it.
And yet I need to hurt it.
This one is tough, but I think the fact that sunlight is extremely damaging satisfies this clue. The sun doesn't have a physical need to cause damage, but one of the clues says that it's not alive, and no non-living thing has needs like a living thing would.