People all the time break those crappy extractors off.
Get out the Dremel. Get (buy) a diamond bit or two (they aren't as expensive as they sound) - ball shapes (small). Grind the extractor stub out and most of the old stud. The drill it with a left handed (cobalt) bit. Retap as necessary.
Another way would be to use the dremel with a cutting disc, and cut a slot in the flange and the broken stud just deep enough to make a slot in the stud, apply heat to the side of the flange and unscrew the broken stud........
worse case it would need a new JUG heating before drilling is a good idea esp if the red loctite was used during installation the package even states "cured product must be heated to 500*F for parts to separate". many people forget this fact when trying to remove studs that have broken.