Originally Posted by
The Drunkard Kid
The teleportation and wormhole abilities are pretty bog standard, since the ring can do at least the wormhole by itself without any input from the user (actually, didn't the ring teleport Hal to a dying Abin Sur by itself when it first found him)? As for the Antimatter universe, that *should* be something h she is aware of as that's where Qward, home base of the anti-GL Sinestro Corps is located and I'm pretty sure that both Corps are able to enter one another's universe at will. OTOH, I'm not sure how consistent DC is about Matter/Antimatter interactions resulting in the spontaneous and extremely explosive annihilation of both masses.
Still, assuming that the GL can withstand WW's attack long enough to teleport Diana away, and that Diana can both survive her new situation long enough to enter the Netherworld *and* be able to find her way back to the arena, that would mean that she's now facing a GL that has had time to put up some active defenses and tell the ring to fire off attacks that can hit other space sectors in real time the moment that she gets within range (or teleport her again).
As for not using superspeed most of the time because they aren't being boodlusted at the time, that's generally irrelevant to PIS since that same speed advantage could have allowed them to stop threats that were endangering civilians or property, which they would probably consider more pressing than bloodlust due to their respective heroic temperments. And of course, that's not taking into account things like Superman killing and being killed by Doomsday in a fight that caused tons of property damage and civilian casualties despite Doomsday not showing anywhere near comparable superspeed and normal humans being able to follow the fight just fine.