She lived in a closed and protected place all her life!!!
Ask a young adult that never took public transport (because their parents over protected him/her or is rich) and ask them to go from point A to point B and you will find how lost they can be!!!
I come from a country that we don't have a train system, I never took a train in my life and only travelled in bus and we paid directly to the driver... now I live in a country where almost all the public transport are trains and you pay in machines... in the begining I was completely lost and I wouldn't have survived without the SSB app!!!
Also, the country I live now is a really secure country, I can walk from my workplace to my home (3km) at 11 pm without being worried, the country I come from (Costa Rica) I.would never do this and I understand why my family was not that alert walking on the streets at night in Costa Rica... I was scared for them and felt they didn't have any surviving skills!!!
So is normal that a person who lived a sheltered life or a more secure life would not have the instint to survive in a more dangerous world!!!
Its not like she was sheltered all her life after all from what I remember she had a tragic past therefore she should have learnt from there. The magic tower might have protected her but you can't change the fact that she didn't lived there all her life. I guess what I'm trying to say is she never learns.
Seeing the raws I suspect she was with mr Inspector not that long and before that she was living with wolves... so not sure how much she learned...
She has no self awareness
Based on the spoiler below I think even without blue haired guy's help that dude who entered her room would've been dead anyways. I kinda find her aimless attitude cute she's sort of like a person who's new to the big city (=・ω・=)
I think the MC is stupid. Even though she is strong she didn't felt anything when the guy entered his room and he doesn't know what she's doing like she's wandering around aimlessly.