Well, keep trying.
I don't know exactly how geneticists do their work, so I can't tell you exactly why that database was used by Bustamante, or whether there is any connection to any other source. What I know is that he is the most authoritative source I've heard on this subject, and he says she probably has a Native American ancestor, 8 generations back, plus or minus a couple of generations.
He can't distinguish between a Cherokee and an Inca, but since she lived in Oklahoma, I'm thinking something from the United States is a more likely source. Maybe, I don't know, Cherokee? Really, it could be lots of things, because 8 generations back would be before her ancestors moved to Oklahoma, and maybe even before Andy Jackson kicked the Cherokee out to Oklahoma. (As an aside, is Jackson still getting booted off the 20 dollar bill, or did Trump belay that order?)
Seriously, I haven't heard actual geneticists question the core finding, which is that a Native American ancestor is likely. Note that in the video they released I didn't hear him say the word "prove", so my guess is there's still some room for doubt.
Most importantly, for this line of discussion, is that there is nothing wrong with the science used by Bustamante, or with ancestry DNA testing in general. It's perfectly good science. You just have to be careful with the interpretation. There are limits to what it can tell you.
Well, duh. But that has nothing to do with the DNA science.