An internal conflict; the protagonist vs. internalized social forces.
The internal conflict can also develop between the protagonist and herself. However, this is not the case here, as she is struggling to overcome the supposed obstacles that others (her family) are imposing upon her. It's not that she doubts her own capabilities or competence; it's that others doubt her capabilities, based on the fact that she is a woman.
Objective
An argument based on logic and reason rather than emotion
and personal opinion is best described as objective. This type of argument
often has to do with logos, that is, reason, evidence and logic. These generally
deal with material questions or things that can be sensed or measured; things
that are associated with the real outside world, outside of oneself. The other
choices in this question: rhetoric, biased and weak do not fit with the
description that was given in the question.
Um I don't see the paragraph your talking about so I'm just gonna go with C