In natural harmony with her choice of subject matter are the personal sensibilities of a first-generation American writer who endeavors to explain her mother’s alien sensibility and her relationship with her silent, angry father.
Could someone please paraphrase the bold part?
Without more context, I’d say this:
This person is the first in her family to be a writer. In common with other writers who are the first in their family to be writers, she tries to explain her relationships with her mother and father. This exploration of thoughts and feelings about her parents blends well with her choice regarding what she writes about.