The power pole was able to
break Tao's sword and has
blocked sword strikes from enemies Goku faces as an adult, so it'd likely be able to block her sword strikes.
tbf, those seem to just be basic swords, tailless is essentially a magical sword made from specialized material that shoots out energy attacks and also emits fire, so i think it's a little hard to say how well the power pole would be able to contend against a sword like that
anyways, taking another look at stats, both upscale from their values but goku's sitting at 9.63 kilotons whereas miyabi's at 10.68 kilotons which gives her the advantage, not to mention the fact that she can continuously stack damage as she continues to attack. goku's AP value scales higher with the kamehameha but i don't really see it being able to directly hit miyabi with how agile she is. on the other hand, goku has a pretty massive LS advantage being class T while miyabi's only class M, so that's a pretty sizable advantage
goku's profile doesn't show how acrobatic he is but considering miyabi can do stuff like
effortlessly jump hundreds of feet in the air and also
fight hundreds of enemies while manuevering through obstacles i'm inclined to believe that she's the more acrobatic of the two here. goku should be more skilled but i don't think miyabi is completely outclassed to the point of not being able to contend at all, and her being the more experienced fighter between the two of them helps with that. both have enhanced senses, both have AD (though i would still argue goku's is probably more useful here), and goku also has analytical prediction which is useful
on the contrary, miyabi can hamper goku down with her ice manip, which'd slow him down and make him take more damage to her attacks, and has SW to keep herself fighting. she also still has the potential to just one shot with her hollow cutting attack if it comes down to it (though i don't think she'd resort to using that here for aforementioned reasons)
if goku hasn't shown any strong resistance to piercing/slicing attacks then i could see him getting overwhelmed pretty quickly in a close quarters encounter, especially given how fast and relentless miyabi is and the fact that she should generally have the AP advantage over him. coupled with the damage stacking and freezing, and i think goku's going to get worn down really quickly if he takes even a single flurry of attacks from miyabi. miyabi should also be fast and agile enough to react to anything goku tries throwing at her. not sure how the power pole's extension speed is treated here but assuming it's equalized alongside everything else then miyabi shouldn't have trouble dodging it if goku tries extending it at her (and like previously mentioned there's always the possibility of miyabi just being able to slice it in half). ki attacks shouldn't pose too much of an issue as miyabi can just dodge them or counter them with her own ranged slashes, and like i said earlier i don't really see miyabi getting tagged by the kamehameha. goku's mobility options like the nimbus or extending himself away with the power pole are also kind of just negated by the fact that again, miyabi can just casually jump hundreds of feet in the air without breaking a sweat, so i don't really think goku would even be able to create distance between them if he wanted to. even then, miyabi can just match his hundreds of meters range with her own, so fighting from range wouldn't be an issue for her.
goku's best bet would probably be to either restrain miyabi with his massive LS advantage or outlast her in a prolonged battle of attrition. if he's getting overwhelmed by attacks i could see him maybe trying to wrangle tailless away from her, though i don't know how in character that is for him and a single rush of attacks might already leave him in pretty bad condition. and again i don't really know how feasible trying to win a prolonged battle is given how aggressive of a fighter miyabi is