Okay so...
AP
Kara as said previously is 1.54x times stronger
Lifting Strength
- Kara's can easily lift a million ton key which when converted would be 907,184.74 metric tons
- Genos scales to TTM, who we've calced at 4,039,810 metric tons
So Genos is 4.45x stronger
Relative Equalized speed
According to our new standards speed equalization is proportional based. Meaning if you equal John Wick to the Flash his pistols would maintain their relative speed to John Wick.
In other words Genos avoiding Kara's heat vision is incredibly questionable, while the reverse isn't true.
Combat Skill
- If Kara has any its not really notable
- Genos also isn't super skilled. Mostly relying on sheer brickness and his flame cannons to win. His reasoning for HtH skill currently on his profile is "(Could contend with an expert Martial Artist like Garou)", which is just not true. Garou while injured and poisoned avoided every single one of Genos' major attacks and deflected his attacks.
Genos has a edge, but its honestly not some critical edge.
Heat Durability
Its possible that Kara has better heat feats, like I do have some vague memory of her flying to the Sun in a solar suit so she didn't explode due to radiation overload and she was fine with the heat. But I can't prove that really.
So in terms of what I can prove while I don't think Kara will be one shot by Genos' flame cannons, she will feel it. While the reverse really isn't true. While the power of the beam will hurt Genos the heat would just negate his durability.
Flight vs Genos' falling with style
Kara has true flight and has solid aerial mobility. Genos just sorta jumps high or uses his flame cannons to control his movements. While it works as a pseudo-flight its ultimately a weakness since in order to get close to Kara if she's flying he has to get in the air, which heavily limits a lot of his skill based escape options.
Other stuff
- While I doubt it would come up, Genos wouldn't be able to hide or stealth out of Kara's enhanced senses
- Genos' electric manipulation is sorta mixed with me. While he did kill a monster with it, he also didn't do it in such a way that I don't see Supergirl being able to take it or resist it long enough to counterattack
- Genos' detachable limbs could get Kara by surprise and with his superior lifting strength he has a means to hold her in place for follow up attacks
- Kara's ice breath could maybe freeze Genos, but I don't see why his nuclear core couldn't thaw him out quickly enough. Though like the above it can be used as a way to stun or counter Genos
Overall Conclusion
I'll be honest, if they were in character Genos would win. Kara isn't some hyper strategist who kites her opponents or abuses her flight as solid victory conditions.
But they aren't in-character, Kara has none of her morals and is fighting as best as she knows how. But that sorta filters into the previous point of where she doesn't really show the capacity of extreme fighting. Like using the core DC universe, a bloodlusted Superman is so much more dangerous than a normal one because he'll be far more inclined to use his
phasing,
martial skill, and
chain frost breath/heat vision. In other words Post-Crisis Superman has examples of extreme combat ability that he usually just doesn't resort to. Kara honestly doesn't have that.
In the end I do feel like there are ways Kara can win. Abusing flight and just spamming heat vision to victory or maybe moving the fight into outer space where Genos just has zero chance to do anything (if we're equalizing speed to Genos Kara can accomplish this in something like one second). But I'm not seeing her reliably doing either unless you're using some armchair general/Path to Victory controlled shenanigans.
So Genos for a majority win, with any loss being space BFR before he can escape or abusing flight to the point where he dies to a thousand cuts.