Well, I guess to start is off, Kessler is coming in with an AP advantage, so that helps, but Archer's regen and stat amping may help a little with that
Kessler's shields and shockwaves may help a little with some of Archer's attacks (though a few of Archer's combos literally depends on being deflected, so yeah), but Caladbolg II bypasses all of Kessler's defenses, and Regenerationn negation will be the death of Kessler, literally
Though Kessler does usually rely on a fast paced fighting style that puts pressure on his opponent, with Kessler constantly darting around the battlefield and projectiles to keep the enemy on his toes, throwing out shockwaves, grenades and lightning beams from afar (Kessler has also shown to be able to shoot out lightning bolts in a similar way as Cole in inFamous 1). His casual use of the ground pound and land mines make the terrain hazardous, and the mind rape clones that serve as shields, distractions and homing attacks helps too.
His telekinesis also completely rag dolls Archer here, and Kessler will use it if he wants to relocate Archer to an area that gives him an advantage (he will also use it just to fling Archer around should he start to overwhelm him)
Though, Archer Eye of the Mind and sheer skill and wit may give Kessler an issue here, so, its a tough call.
Not voting yet, just getting my thoughts out there.