Killing in the Village Commons by Cate Martin

Winter has come to the lost Norse village of Villmark, the wind and snow separating cozy house from cozy house like a knife breaks apart shortbread.
And for the first time in her life, Ingrid Torfa lives alone. No mother, no grandmother, no roommate. Just a big, empty house and a cat who loves to disappear. Magical studies fill her every waking hour, and yet those hours stretch out in unbroken silence.
Until a scream rents the night, drawing every neighbor out into the cold streets. A woman lies dead at the bottom of the well. It looks like an accident to the villagers, but to Ingrid it feels like a murder.
Luckily, Ingrid knows just the friends to help her solve the mystery. Not even the bite of winter can stop them from uncovering the truth.