Okay, so, two or three problems here.
Traditional Armor; I’m going to go out on a limb here and assume you mean historical armor. There’s a reason why you don’t see people busting out kendo gear or fencing armor outside of the sports that call for them. It’s the same reason that soldiers don’t go into combat in football/rugby gear. It’s not going to protect you from the threats your facing.
Part of this is that, with armor, form follows function. Modern tactical gear isn’t designed to look cool. It’s designed with very specific ballistic behavior in mind. Similarly, historical armor was designed to deal with the specific situations its wearer faced.
Lifting 8th century Chinese armor out, and saying, “no, she should wear it because it’s the armor of her people,” is non-nonsensical, suicidal, and reeks of orientalism. Even if you replace the components with modern synthetic fibers and ceramics. The shape itself won’t, necessarily, be effective in dealing with modern threats. If you adjust the shape, and the materials, your character’s no longer wearing “traditional armor” at all. And we’re just back to the modern day.
That doesn’t mean, you shouldn’t look at historical armor for influences, in designing something futuristic. Following that train of thought, historical Chinese armor does offer a lot of potential visual inspiration for near future riot gear, powered armor, or just high tech tactical gear. But it’s not going to be “traditional Chinese armor.”
Wings are problematic. She’s not going to find armor she can wear. Hell, as you’re probably already aware, she’s going to have a hard enough time dealing with clothes. But that’s not the real issue. The problem is physics.
I’m assuming the the wings are supposed to allow flight, even if she doesn’t use them for that. I’m also assuming you’re talking about someone with, roughly 16 – 18 foot wingspan. If that’s the case, she can’t weigh much more than 50lbs and expect to take flight, ever.
The alternative would be comically large wings several times the size of her body (we’re talking a ~30ft wingspan). Google image search the Argentavis. You should see some shots from the scale model that used to be in the Museum of Natural History in LA. That’s just to glide, the wings will need to be substantially larger than that if she wants to be able to actually take to the skies at will.
Neither of these solutions will work well in hand to hand. The wings will get in her way (comically over-sized or not) if she’s trying to fight people. And if she is somehow under 50 lbs, she’s going to end up with bones made of balsa wood.
Let me explain that. One of the way birds keep their weight down is with hollow bone structures. This massively reduces the weight of their skeleton, allowing them to, well, fly. In turn, it means their bones are very fragile, compared to mammals. This is the tradeoff, they have more mobility to avoid injury, but when that fails, it’s more catastrophic.
Even if she doesn’t have a weakened skeleton, for whatever reason, she still can’t afford to go into hand to hand with anyone, for any reason. Because, wings are actually fairly delicate. Some of this is with the whole ported skeleton issue, but some is also just that wings are fairly delicate.
So, it’s a modern day setting, you have a character that can’t fight in hand to hand without risking a crippling injury from any meat head with two functioning hands, and, now you’ve got guns.
This actually makes things even worse if she’s spouting a 30’ wingspan, because once she’s in the air, she’s going to have the mobility of an airliner. (Not, literally.) Meaning, in the air she’d actually be a rather convenient, slow-ish moving target. Making things even larger just makes her a bigger, easier, target.
On the ground, the wings would serve to make her, well, again, an easier target. I don’t know exactly how bad getting shot through the wing would be, but I’m pretty sure it would be a debilitating injury. Combine that with her providing a target nearly twice her size, and gunfights would not be a good position to get in.
You could armor her wings, but that would mean she couldn’t fly at all, it’s a trade-off, armor or flight, and it still might not effectively protect her from the kinetic force of incoming rounds. I’m not convinced this would be an impossible engineering challenge, but I’m also pretty sure it’s not one that’s already been solved.
Now, obviously, this is if the wings are just there. If we’re talking about an urban fantasy setting where the wings are a boon from, say, an angel, demon, or the forgotten god of marine iguanas, then, sure. They work because magic says so, and they may actually be invulnerable to harm, which, if they’re not also invulnerable to pain, could be very unpleasant. In those circumstances, armor could be the same deal, it’s enchanted by somebodyorother, so it’s effective because magic says so. But, that’s the cheat, and the real risk with using magic, it’s very easy to turn the entire story into a “but, because magic” logic hole.
If the wings are cybernetic, then the whole armor situation might just be the wings are effectively part of that. Someone shoved a rocket up between them? That makes sense I guess, so long as it’s not actually cooking her legs on liftoff. She’s not taking to the air with the wings, they’re just flight controls? Again, okay, That’s a little high tech, and I would worry that the wings could still be damaged from gunfire, though, depending on how tightly they fold up when not in use, they might not be a huge liability in combat on the ground.