She does, but her uniform is badly damaged as a result.

As the rain of arrows came pouring down to her, rather than take cover, Byleth simply ran faster, for she was an experienced mercenary, and just a bunch of arrows wasn't going to stop her.

Seeing her relentless charge, and how she wasn't stopped by their arrows, the bandit archers panicked, and tried to get away from her, but it was too little too late, as before they could do that, Byleth smashed down upon them, and began to attack them nonstop without mercy.

By the time the smoke cleared, there was nothing at the hill but a bunch of dead bandits, and a relatively unscratched teacher with a sword full of blood...

"Wow, you were awesome teacher!", Yelled Ashe excitedly as she reached her.

"Ashe ?, why are you here ?", Byleth asked confused.

"While you were attacking those archers, we used the opportunity to sneak in, and clear the rest of the hill of bandits, we wouldn't have done that without your help", Dimitri explained, as he and the rest of the Blue Lions came close to congratule her.

"Thanks, but i'm just doing what i can to protect you while you learn", she politely replied.

"Well, and protect sure you did, i wouldn't imagine myself recieving so many arrows", Sylvain joked while pointing out at Byleth's teacher uniform.

"Yeah, maybe you should have worn more armor today", Felix also commented, for effectively, as Byleth charged head on against the rain of arrows, her uniform became tattered and scraped, with numerous holes and rips, representing the many arrows she took. And while it still covered her important bits, it wasn't all that good to wear either.

"Well, either way, we still have to liberate the town from bandits, so let's move on!", Byleth simply replied, and so, the rest followed, for they still had a job to do, and a somewhat damaged uniform wasn't going to stop her from leading her students in battle. right ?