I think Lady Gaga, as well as many other female pop artists, are influenced by Madonna, rather than ripping her off. Plus, there's Marilyn Monroe before all of them. I think Madonna ought to be honored about her influence rather than being rude. People are always going to compare artists to other artists. Don't hate me for saying all of this, but it's true.
I think her main inspiration's are Grace Jones and David Bowie, because if you look at her outfits and performance style it fits them much more than Madonna.
I hope you realize that Madonna is a main source of inspiration to Lady Gaga and many others, so you might as well not discredit that regardless of whether Madonna respects Gaga or not.