Episode 2:
I don't know what's wrong exactly, but I feel like some minor things here just don't mesh well together.
The girl kills a mice, that just suddenly goes to sleep in her hand, but there is no blood, yet later in the episode - there is blood. Her "survival mode" is just too cheery, considering that previous episode established, that she was suddenly abandoned by her parents, which implies, that they were taking care of her before, which is also confirmed by her not knowing the concept of money and seeming inability to talk to people (unless that's just awkward writing).
But overall this is quite boring, too. And it could have been the "right" kind of boring, if she stayed at the new village, and the show was about her getting friends and growing up in that village. But she is forced out, by posters, that look nothing like her, especially since she cut her hair. Presumably exactly with intent to not be recognized as a girl. I know she is a child, and children may not be as bright sometimes, but she is presented as a self-sufficient child, and also has that voice from her past life in her head.
Problem is, that she is the main focus of the show, clearly. Not her and the slime, but her specifically. At least that's how it was framed in 1ts episode, and it is also confirmed by us spending a lot of the time listening to her talking to herself (and sometimes slime). I am pretty sure that these little contradictions will keep piling up ruining the character. Which is sad, because even My Daemon, was more compelling as "child with a monster traveling and surviving" kind of story.