This trophy is for using Big Band's unique parry mechanic. You parry attacks by pressing towards (and down on occasion but not for this example) your foe when an attack just barely makes contact with you (the first few frames you are being hit). This is normally annoying to do but I had a really easy time playing against Peacock in a CPU Quick Match. Just practice parrying her various projectiles. You don't need to win any of the fights, you just need to parry.
I'm not certain of the value but I'd guess somewhere around 50.