There's also something else to consider, that Jeni is still forming as a person. She's only sixteen years old. She is in a transitive stage between a child and a full-grown adult, so she is not entirely sure what she wants or who she is yet. This scene is our first indication of Jeni's thoughts about what it means to be a Jedi, her place in the galaxy, how she sees the Force, etc. It might seem heretical to go against the simplistic black-and-white, Jedi vs. Dark Side dynamic of the OT, but I had to give Jeni a distinct emotional and philosophical journey to undertake, not a simple rehash of Luke's path. *
Jeni is ultimately good. She is no Sith. But she struggles with how to express herself in the Force, when the established lineage and rites of the Jedi seem too restricting. She is more of a wild spirit than Luke ever was. In that sense, Jeni truly is her father's daughter.
*Although his arc was completed in Return of the Jedi, Luke still has a role to play in this trilogy. It is superficially similar to Obi-Wan and Yoda's mentor-like roles in the OT, but with some differences that will become apparent later on.