Kurse Vs Domina
Okay, I thought that this would be close match, but in reality, this is a tough one for Domina. I'm rooting through all of Domina's powers, and though they are many, most are ineffective in this match. However, Domina's most basic traits will be what wins this match for her.
Neither character will know of each other, so none know how to prepare. Kurse will know nothing of the location and I'm going to assume that Domina won't either. She was approached by Magneto just prior to Genosha's destruction and it is assumed that she died there in it's destruction. It really doesn't matter any way... it's basically just a waste land.
So the match begins. Here's what I think will help Domina win this match. She is a predator. The girl killed Sinister several times. She is a hunter and an assassin. She is a weapons expert and very ruthless. She carries several weapons with her, mostly knives and daggers and such. She has many powers but the only ones that will be effective in this match are 1) Her ability to track 2) her increased strength, agility, stamina, etc. 3) Her ability to create energy and give it form (typically small things like rope and such) and 4) Teleportation of herself and others.
I think that Ahura did a good job explaining Kurse's powers, but he did forget to mention that though Kurse is way powerful, he also has a weakness. According to his bio he is weak against Iron. I would assume that all the knives and daggers that Domina carries are made of some type of Iron, so those could wound Kurse.
So the match will begin and I imagine Kurse and Domina finding one another fairly quickly. Being that neither know one another they'd just start fighting. Domina is smart and she will begin to realize that none of her powers are working, and so she would go on the defensive while she figures out what to do. She will be teleporting and using her agility to dodge attacks made by Kurse. Even if she doesn't know him, she can see by looking at him that he's a brute and will know to dodge him physically as much as possible. She is smaller and can hide more, and once she gets his smell in her nostrals she can always find him and know where he is, so once they confront one another, she can keep him in her sights while staying out of his.
Now I know that Kurse is a brute and I am not going to underplay him in the slightest. I know that if he can get one full on direct blow in, Domina is out, but this girl is agile and stealthy. She's not stupid, and though she is a little cocky, she is calculated. She came in and kicked the crap out of a whole team of X-Men on her own without getting tagged at all. She is good at keeping away from being tagged, and though Kurse is an asgardian, I feel that she could still dodge him as needed. She would know she was outclassed in the beginning and she would retreat to recollect herself and figure out what to do, knowing that after having his scent she can always know where he is and dodge him.
Anyhow, so now comes to offensive manuvers that can win her this match. Now Domina is all about killing. She does not care about the lives of anyone not of the Neo, so she won't care about killing Kurse. My guess is that she will learn in her initial attack that Kurse can be hurt by Iron. She fights by hand more than not, so using her weapons in a fight is very in character. She will know that he is quick and strong and powerful and will know it best to not fight face to face. She will then take advantage of the teleportation power and will begin to teleport in and attack then out again quickly. Each teleportation will be with her appearing behind him or out of reach. She'd run a dagger through him and then vanish again, sometimes taking him elsewhere to make him lose his barings. She'd just cut at him for a while. This would work but it would get risky and she'd get bored. So I imagine that finally she'd appear behind him again and would then just slice at his neck and teleport, taking his head with her, killing him.
I'm trying to be fair to Kurse, as I could just have her go in for the teleporting kill, but I think the above scenerio is just more likely. Kurse's strength and such are phenominal, but it won't take Domina long to learn this and as long as she survives the initial attack (and she's good at that kind of thing, so it's very believable) then she will know to do the teleporting deal. Kurse's strength is great, but if he cannot make contact with his foe then that strength isn't worth much.
Honestly, I can see her teleporting in once and just run her dagger through his neck or head, killing him swiftly from behind, or appearing and sliting his throat, etc. She knows she's outclassed, but she's ruthless and stubborn. She won't give up and she will go in for the kill.
And again I state, if Kurse doesn't know she's coming, then he can't prevent what is coming. He is weak to Iron and Domina has her weapons that can hurt and wound Kurse. She can also stay out of his way with her agility and teleporting, which she's very very efficient on, so that's not hard. A teleporting attack driving a dagger through his throat or in his mouth cannot be dodged. And if for some reason that don't work, she can always just teleport him in two or such, killing him.
She's a trained effeicient killing machine. Again I remind you. She killed Sinister multiple times, and I don't even know how that can be done, but she did it. This is a tough match for her, but it's not hard to pull off. She just has to survive through the learning process of how to take him out. That's really all that's up for debate, and she is a killing machine and a manuever queen. She can survive no question, and she can kill Kurse because of his weakness to iron.