MQ-1B (as opposed to the RQ versions) has 2 AIM-92 Stinger, sorry for relaying it as "Sidewinders" in my original post, Cold War Freudian Slip.
http://www.uavforum.com/library/army_fmi3-04-155.pdf
Rattler
From a Goliath article FEB 10, 2003:
...the Predator can't defend itself from other planes and it's not built for a dogfight.
So, given those limitations, the Air Force has been working to equip the Predator with Stinger missiles capable of hitting airborne targets.
-snip-
"The possible value of Stinger on Predator would be for self-protection," Rogerson said. "Predator has neither the speed nor maneuverability to use this capability in an attack or 'dogfighting' role." She said the military has made no decision to give this capability to Predators on the production line.