Godslayer's full potential and list of feats are needed, or it's simply a cool sounding blade.
One
Wolverine has a huge advantage over her, because his weapons are incapable of being jarred from his grasp unlike Gamora's blade.
Two
Wolverine's healing factor is several times greater than Gamora's
I would give Gamora a slight edge over Wolverine in terms of sheer fighting skill, but I just don't see this edge great enough for her to turn this into a non contest. Again if Wolverine tags her a few times she's going down from the wounds, while Wolverine has taken abuse capable of ripping his face off, and flaying large portions of flesh from his body.
Wolverine wins this if he decides to give in and go berserk on her.
Wolverine wins via having better speed, skill, durability and healing factor feats. Simple. Gamora is neither fast nor skilled enough to engage Wolverine in melee combat without getting hit, and her healing factor isn't good enough to take a hit from Wolverine and keep her in the fight. That's it. There aren't alternative opinions to this question, if you don't agree with that assessment then you haven't read enough comics featuring either of these characters to formulate a valid opinion and as such what you think doesn't matter.
God Slayer is a non issue, the only thing it has ever done is break on Thanos.
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Gamora doesn't have a single speed feat of any note to her name. Literally. The closet thing she has to a speed feat was when she jumped at Ronan and there was some action lines trailing her... awesome? Skill? Again... Gamora has only fought one skilled character, it was Wolverine, and she didn't win. She pressure pointed The Thing... and then stated she couldn't have done it in a real fight if Sasquatch wasn't restraining him... and she agreed with Cyclop's assessment that she wasn't skilled enough to implement pressure points against him in combat either. Wolverine has wins over top ten martial arts, Gamora does not. Wolverine has successfully used pressure points in combat, against top 10 martial artists. I can back up why Wolverine (and every top 10 street level martial artists), all you can do is pretend like the notion is absurd... and hope that nobody notices there isn't any evidence that supports your claims. Other than you having a boner for Thanos, what makes Gamora faster or more skilled than Wolverine... because anyone who reads comics knows its not feats.
Read a comic.
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Let me guess... you view the narration about her to be total hyperbole and not the CANON narration that it is? Or are you some where in the middle when it comes to her skill? I need to know before we can proceed.
"The most dangerous women in the Universe" tagline is about as relevant and germane to this conversation as Wolverine being "the best there is at what he does." She hasn't done anything that would allow for the possibility of her beating Wolverine. Words are just words, and words aren't worth shit with out something concrete to back them up. Based on feats Gamora can not beat Wolverine. It's that simple.
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So you still didn't answer and just simply avoided the question.... What do you feel her skill level is... do you think it's a joke.. pretty good.. good... excellent.. WHERE EXACTLY DO YOU FALL?
Gamora has super speed, a healing factor, super strength, sufficient striking power to routinely send class 100+ bricks flying, sufficient skill to pressure point Thing unconscious (yes, he was held, but I'm referring more to the point of it bypassing durability), and sufficient durability to be completely unaffected by any of Wolvie's non-clawed attacks.
Gamora wins this.
She fought toe-to-toe with Maxam and Ronan, one being a brick in the realm of Hercules, Drax, etc, but have actually skills, and the other being powerful as hell, and having the hability to launch ranged attacks.
She's way more stronger that Wolverine, probably more skilled too (didn't she beaten Mantis?), aguarbly faster too.
Gamora is a moderately skilled, class 70... she lacks the skill or speed to engage Wolverine in melee combat without getting hit, and here healing factor and durablity aren't good enough for her to take a hit form Wolverine without being her effectiveness being significantly diminished.
Because - you know - Wolverine has never fought Hulk, Thor, or Herc level opponents before...
Gamora has never beaten Mantis.
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Is it your claim that a middle of the road combatant with class 70 strength (CONSIDERABLY MORE) than Wolverine... couldn't KO him? Is it your claim that class 70 strength isn't sufficient to put wolverine done for the count? I hope not considering he has been put down by less.
Wolverine fought them, but he run into them, and relied on his healing factor, most of the time, to continue to fight.
On the other hands, Gamora fought his opponents, using mostly her skills. Big difference there. Her last, soundly defeats, came at the hands of Magus, which isn't a low showing at all.