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In Game of Thrones S8E3,

Arya

fiercely kills a way lot of wights after which she has to escape from them and enter the library. In the library she seems pretty shaken and also not as brave as she usually is. There were around 10 wights or so in the library all of whom she would be able to kill easily. But she hides and tries to escape from the library unnoticed.

Does something happen between the fight with the wights on the castle walls and the library? This is very out of character and a stark contrast from the person she is out on the walls to one in the library. Do the dead get to her or is she actually scared?

Why does she look shaken and scared, given that she usually isn't (she does possess a weapon while in the library) and isn't this out of character for her?

In the Inside the Episode David and Dan (showrunners) say the reason she is more scared here is because she is in a weakened state after getting hit on the head outside. They say at that point she is just trying to survive. She doesn't feel like she is able to take on all of them at once anymore and now is just trying to make it out alive.

As an out-of-universe reason, this is a great opportunity for the showrunners to remind us how sneaky Arya can be. She is indeed a formidable fighter, but she is also very good at remaining hidden and undetected. We get to see for ourselves that she is capable of evading enemies who are mere feet away, which turns out to be extremely important later in the episode when she

leaps from seemingly nowhere to surprise and destroy the Night King.

Without that setup in the library, this feat would have seemed even more implausible.

One of the differences I noticed between her on the wall and her in the library is sound and surroundings.

On the wall, the battle is going on all around and the dead are swarming in all directions. They swarmed around her as much as toward her.

In the library she is alone and the moment she makes a sound every dead in the room (if not every dead in the entire building) will swarm towards the sound of her fighting. You see this happen when she throws a book to distract them and you see over a dozen dead instantly swarm onto the sound.

She could easily kill a handfull or even a few dozen if she had an environmental advantage, such as being on top of a wall. But dozens swarming her alone from every direction is a very bad idea.

From a narrative perspective, it shows that Arya is still human in that she reveals vulnerablity.

This is contrary to the idea of the Faceless Men as implacable, inhuman assassins. (If Jaqen H'ghar were not still mortal, why would he have cared if he was saved or not the first time Arya met him?)

As you noted, the change was from outside to inside the castle. Part of the fear could be that Arya had a mental wall built, anticipating the fight to remain outside the walls. In that sense Wintefell was a parallel for Arya. Once the enemy was inside all rational planning was lost and it was merely survival... It should be pointed out that Arya was quiet enough on her feet in the library that it was the dripping blood that alerted the wight.

There are limits to her power and she's traditionally not stupid. She's not Thor, this is not Avengers and she's weak after so much fight. Even in tip top shape physically you can psychologically be in pieces just looking around at all that death and the never ending numbers of those wights (not your usual zombies, these folks are fast).