Lisa Harvey at Questioning Transphobia wrote a great blog post on the rumors about Lady Gaga being intersex. Lisa articulates pretty much all of my feelings on the subject way more eloquently than I could hope to. Take a gander, please.
Parts of the Telephone video are clearly intended to be a direct response to the intersex rumors. Namely: The beginning of the video, where the guards make reference to Gaga's junk. (Guard #1: "I told you she didn't have a dick." Guard #2: "Too bad!")
Honestly? If Gaga is going to choose to respond to these rumors in any way -- whether she is intersex or not -- in my fantasy unicorns-n-rainbows world, I'd love to see her say something along the lines of:
"Hey, legions of adoring fans! Here's some information about what intersex is. Here's why intersex people shouldn't be subjected to secrecy, lies, and/or purely cosmetic, medically unnecessary 'treatment' for their intersex conditions. Informed consent is awesome! In conclusion, I will now give millions of my dollars to Intersex Initiative and Advocates for Informed Choice."