Your ability to draw me into the setting was extremely well done. I'm unsure exactly what creature the main character is (my initial thought was werewolf). If it's an undead-type, the beginning is an excellent fit: "She got used to the cold long ago".
Despite the main character's attempt to live a normal life, I love seeing the internal struggle and character flaws that are quite evident. Nothing warms the heart quite like an anti-hero. It was interesting to see how quickly my perceptions of the main character changed. First, it was pity due to the grave visit, poverty, and horrible living conditions. Then she's seemingly unjustifiably bitter towards her daughter. However, we don't know too much about her daughter from this excerpt. Maybe it is justified.
There was one part I think could flow better. Specifically, this section (I had to re-read it before I understood she was continuously talking): You unlock the door and step inside. “I’m home,” you say. No one replies, as always. She never gets here after school ends. At the earliest, she arrives at evening. “Lazy and unappreciative.” You lock the door behind you. “She could at least dust the place."
Admittedly, my own grammar skills aren't great. On a scale of lordkarstark to a German newspaper editor in 1939, I fall in the middle, but I think the punctuation (or spacing) is the issue.
The amount of suspense you created here is wonderful. There are tons of things I want to know about the main character, her daughter, who the monster is, what happened to their father, etc. I think you did an exceptional job giving the reader a "flashlight under the blanket" experience and I would gladly stay up late (against mommy's wishes) to read more.
To answer your initial question: Looks great.