It's my understanding that GE is the same approach as selective breeding, which has been going on for millennia, but is quicker as the genes are, for want of a better word, edited. Selective breeding requires time for the results to show.
GM, where a gene from one species can be put into another, has been linked to big pesticide firms (yes, Monsanto, I'm talking about you) as a way to make crop plants resistant to their pesticides, which can then be broadcast on to "weeds" in large quantities. Also for making plants sterile so that farmers, even in poor countries, cannot save seeds for future years. There has also been concern, I believe, about whether properties introduced to crop plants from other species (not necessarily even other plants), will spread into wild plants. This would not happen with GE plants as the genes edited were those of the plant already.
Hope that makes sense (and is accurate - the management accepts no responsibility...).