A theistic evolutionist does not deny that God created the world and all that is in it. He does not deny Genesis anymore than the many, many fundamentalists that embraced the gap theory for many years.
The gap theory is wrong as well. You are correct that those that believe the gap theory deny the Genesis account. Those that believe in evolution deny the Genesis account as well. Thanks for making that point!
There are other things in the world to be accounted for, which are not even mentioned in the Bible. For example, the existence and habitation of North America, which is clearly not in scripture.
So the LORD scattered them abroad from thence upon the face of all the earth: and they left off to build the city.
Theistic evolution has never deracted from my fundamental belief in the veracity of scripture as the very word of God. Just as many stories in scripture are somewhat incomplete, including the genealogies, so are some aspects of existence.
The Genesis account clearly tells us how God created everything. You continue to attempt to add your own into the mix and deny what is clearly written.