"Psychological" is a new age tag that's letting the reader know that that Author is "Cerebral"
and I'm not saying Anima Aliena cannot be a slice of life. I've only read the summary. But to further explain slice of life without pretending to be an expert. Think of stories with LOTS OF DOWN TIME for the characters to reflect. And they are not typically "fighting for their very lives" every day. In many cases the stakes are quite low (Will I make friends in this new town, or Can I get over the death of my father while attending university).
I don't know what else to tell you. Think of slower moving stories where the MC is not trying to save the world, on some kind of quest to save the world, or isn't being attacked every other day and defending his life.
My story is a true SLICE OF LIFE. it is the daily life of stuff happening to three Valkyrie sisters in an All Girls High School on Earth. Aside from the existential threat of a Nether Demon that pops up from time to time (and the girls fight it but, don't worry about that). They're other MAJOR concerns are about The school play, the school elections, the upcoming dance, the blasted volleyball game coming up on Friday.
These are what they are worried about. Slice of Life stuff.