I have used tap extractors before with limited success, IMHO it isn't going to do you a great deal of good. The tap is very small, and if it is really tight, and being in anodized aluminum it is certainly most likely tight, it's going to be nigh impossible.
Tapping those small holes is a real PITA, small fragile tap in an anodized hole on aluminum- bad news. LOTS of cutting oil and slow and easy, breaking the chip as you go.
Good luck! Small carbide drill bit as above mentioned is best bet. I would normally try to break it out were it steel with a punch- being in aluminum it would REALLY booger up the hole, BAD.