Tommy, I think it goes back to what Scarred said, you do kinda get the feeling that she's pulling a prank on the music industry. She's only straight up said the video for Bad Romance is about, metaphorically, how the industry simulates human trafficking. More directly, I think it has partially to do with the fact that she dresses like a pointy hipped sex android thing, all angles everywhere. It's kinda the same as why I like Dolly Parton so much too, Dolly directly went super feminine, almost grotesquely feminine with the big boobs and the big hair and the big lips. Gaga's the opposite, instead of exaggerated curves she rocks exaggerated angles. From Feministing, "her often physically distorting costumes show that the pursuit of the feminine ideal is far from natural." The other thing is her hypersexual image, which is kinda funny because she tries to play it like it's no big deal but she knoooooooooows, she knows people will make it a big deal
You see, if I was a guy, and I was sitting her with a cigarette in my hand, grabbing my crotch and talking about how I make music 'cause I love fast cars and fucking girls, you'd call me a rock star. But when I do it in my music and in my videos, because I'm a female, because I make pop music, you're judgmental, and you say that it is distracting. I'm just a rock star.
heck just read
this, which I did totally steal from Feministing.