First go and make a new deck. This deck should include three normal mags (The Blue Ones), weapons that don't cost a lot to use, like daggers, sabers, or swords. Be sure to include a few defensive cards but the main part of this deck is to have a nice offense. Choose Sil'fer as your NPC.

After you have your deck your ready to take on Pollux. First thing to do is get keep drawing cards until you get your three mags (You don't need to equip them at the same time). After you equip your mags keep drawing cards until you draw 3 daggers.

Now you're ready to kill Pollux.

Run up one square and end your turn. Now Pollux should run right up to you but not attack. Hopefully you rolled at least a three because you will almost kill Pollux on this turn if you do. The purpose of those mags was to up you Daggers Attack Points. With every mag you equip, you do another 2 damage. So you will end up doing a lot of damage to Pollux. Attack her 2 turns and Pollux should be Dead!