Eh, I'll bump this.
Link is more durable than Kharn is powerful and Kharn is way more durable than Link is powerful. Both have more than enough experience to make the advantage moot.
That said, I'd still give it to Link. Kharn's negation takes out a lot of things, but that leaves him with a ton too. It also doesn't negate Fi from reading Kharn. And Link is no stranger to fighting people who he can't hurt by normal means. Gorechild is the biggest game changer of the fight, being able to actually get some good damage on Link. However, as Wokistan put it, Link can steal the weapon with his higher lifting strength, and the Clawshot, Geappling Hook, Whip, and Switch Hook only help with that. Given Link's fight with Koloktos, that's not out of character for him, even without Fi (though she helps). It can be blocked by the Hylian Shield, which Kharn isn't getting by anytime soon, and even if it did hit, Link's soul resistance and durability buffs keep it from being fatal on the first hit.
There are also a few other things that Link can rely on to get himself a win. One is his cloning, which I doubt Khorne would nullify. Secondly, there's the OHK Obliterator, which Wok admitted would kill Kharn in one shot due to not being a cheese weapon. Third are Ice Arrows. Kharn is durable, but he doesn't have the AP to just break out of the ice. Kharn himself may not be frozen due to his cold resistance, but he'd be restrained as the area around him is still frozen. And if he does get frozen, he becomes brittle due to how freezing works and can be shattered.
All in all, Link has more ways and chances to win. 6.5/10 goes to him.