
There's always the possibility of them trying to wake her up tho. If they surround her for interrogation purposes, she's even more screwed.
Though why she didn't ambush her guard when he walked in, Idk. Why just shove him aside, was she afraid to hurt his feelings? Bleh.
Calling it now about the drugged situation: She's probably some kind of special snowflake - reincarnated goddess/saint; magical creature; beloved by divinity - take your pick. There's really very few MC's without a cheat in isekai. (Latte is a precious normal one) plus, cutting through rope with a plank that easily? What kind of rope did they use, twine?
Unless the empress dowager planned all that out, placing a sharp thing, changing drug concentrations, using flimsy rope and very nice/clumsy kidnappers - all to evaluate MC's reactions and to just spook her a little. - it's a conspiracy!

I knew they just wanna check up on her cuz they didn’t expect her to be awake this soon. That means she have quite a lot of time. And when she noticed something sharp on the wall, I thought it would be a poking nail. That would be more realistic than a sharp wooden plank lol. And why the hell did she not use the wooden plank to hit the guard in the head. This doesn’t make any sense lol
FL gets kidnapped and drugged, conveniently has enough energy to drag her chair to a wall, conveniently the wall has something sharp to help her cut the 'tight' ropes also the the sharp thingie is at that specific place where she dragged her chair to so she, oh so very conveniently, doesn't even have to search for it........ When she ran away when the male GUARD A TRAINED MALE GUARD opened the door she was able to get away from him in HEELS WHILST BEING DRUGGED and run a good enough distance.... Oh my how very convenient lol