The first thing Kybele will notice when she wakes up is almost certainly the enormous pain in her chest. It's not that there's a shortage of things to notice, in the middle of a busy market square mid festival, but that's the kind of thing that really tends to grab the attention. Wherever she fell asleep, she certainly isn't there now.
In that case, she'll start from the assumption that Kybele is largelly an amateur and apologize in advance for anything too obvious.
"The first thing I try and drill in people's heads - especially the ones that have watched too many plays - is to forget about hitting the other person's sword. Well made swords are very durable, and magical ones moreso, but if there's one thing that will wear them down relatively quickly it's hitting another piece of tough metal with it as hard as you can all the time. The other, equally important reason is that it distracts you from the main thing you want to be doing with a sword - hitting your enemy with the sharp bits. There's a time for deflecting blows, particularly to get their weapon out position to stop you, and you don't want to mindlessly attack and get hit bad yourself, but the whole reason to use a sword instead of just a shield is to hit the other person until they go down.
"The second thing I always aim to get people to remember is to not get dragged into a prolonged fight if you can help it. Even a schir is significantly stronger, more agile, and more durable than most adults, to say nothing of babau or inheritor forbid Kalavakus. This applies less to paladins or powerful adventurers like you, but it does still apply; if you're in a fight that comes down to a slugging match, odds are decent that you'll lose. Instead, your goal is to pick fights you can win quickly or pick them as a group, and if a greater demon like a Glabrezu shows up get out of the way so the archers can kill them with massed fire without you getting hit."
With those warnings given she can get Kybele starting on footwork and guard drills, with the goal that when it comes to a fight she won't have to even think about not leaving herself open to attacks.
It's really helpful! Ky has read books about swordsmanship but did not, before coming to Golarion, expect it to come up in her life.
Once she's run through the drills a few times, Gaunther fetches a wooden sword and dons some padded armor to show what the drills are supposed to help with - not as a replacement for the practicing, but because when you're dealing with adults it's more effective to show how letting their elbow drop makes them easier to stab than to just tell them to tighten their stance. It won't make her a master overnight, but the more she sweats in practice the less likely it is that she gets killed painfully and the crusade gets put out the price of a raise dead diamond. Getting her more practice dealing with superhuman strength is a harder ask, but she can at least make her practice blade magic for a few seconds at a time and give Kybele a better sense of how much more dangerous that makes opponents.
Ooh, can she try it on a paper sword so she can also experience the difference in practice?
Sure! As far as she's been able to tell it works on any kind of weapon and doesn't seem to cost her anything; paper should work fine if it's in the right shape.
It's a weird feeling; it's definitely interacting with the paper, in a similar dimension to scrolls or her bracers, but it's not really changing anything about them. When it wears off six seconds later, the paper doesn't feel any different from it did before, even after multiple uses. When she swings it at the wooden sword, it bites slightly into the material like a metal knife would, but doesn't do anything to protect the paper itself from taking damage.
The paper's remarkably hard in Ky's hand, but she does notice a little difference in the swing. "Interesting! It's different from the angel sword."
"Yeah. I'm not really sure why, but whatever it is I'm doing seems to be slightly different than normal weapon enchantments. It does mean I can still use enchanted gear, though, so I'm not complaining."
"Maybe you should see if Nenio - she's a wizard who's very scientifically inclined - can figure it out, I worry if she doesn't have enough to investigate productively she'll start gnawing on things that oughtn't be picked apart."
"You've already managed to recruit a wizard adventurer? You work fast. Sure, I can find some time to meet with them."
"She just sort of walked up and started quizzing people. I'm not positive she'll work out long term but I hope she'll be useful as long as she stays."
"That makes sense. Maybe it'll let me figure out what the requirements are for other people picking it up, that could be helpful. Now let's try with distractions this time; I want you to hold your stance while moving your paper around."
"Yep. Eventually I'd like to get you to the point that you can maintain the stance and enough attention to defend yourself even while doing everything you would normally do with your paper in combat and injured, but it's just a little bit much for your first day. Better to stick to a more manageable level of distraction and be practicing the right footwork."
Then after a few hours she'll have noticeable improvement in her technique, some soreness in her muscles that even with her enhanced endurance and strength isn't sufficient to fully ward off, and what would be a somewhat uncomfortable amount of sweat of she didn't have a magic item that made it a nonissue.
"That's some good progress, but I think we should probably call it a day; there are still a few things I should handle before we set out tomorrow. I should ask, though, how protective is your paper? I think with your speed we would want to keep you with something light and nonrestrictive regardless, but I don't know if your paper is sufficient protection for you, or if I should talk to Forgemaster Vhane about fitting you something in mithral, or just reserve a mage armor for you each morning."
"It's pretty solid while I'm wearing it - do you want to try swatting me and we can see how it stacks up against what you expect?"
"Sure, though I should probably get a cleric first. One moment, there should be someone by the infirmary."
"We're testing the knight commander's armor, and it seemed prudent to have someone on hand just in case."
"Well, it's always better to be there before someone gets hurt. Sure, that shouldn't be a problem."
"Excellent, thank you."
About two minutes later, she arrives back where they were training.
"Apologies for the wait. To start out with, I'll use my sword, which should be roughly equivalent to a Schir; if it's fine against that, I can use my fauchard and arcane strike to do a bit better than a Babau can manage."
"Do pull it a little, we're testing the armor, not my skin, and I have some reason to believe my skin's not up to par."
She nods. Fortunately, she's quite good at what she does, and while her attempt at sundering succeeding would probably hurt if it succeeded it's not going to do any serious wounds. The first two strikes with a sword are merely sharp steel wielded by someone reasonably strong, sufficient to slice hardened leather but nothing much sturdier than that. The followup with her main weapon is a different story; if her paper is merely as strong as good hardwood, this will break it, but if its strength is more along the lines of steel it won't have any difficulty.