Whenever she talks to you, look at her intensely, say something like "if you feel like crying, cry." Then hug her tightly.
When she is talking, listen intently. Don't rush her. You have all the time in the world for her. Show that you value her as a person and you value her opinions.
Being emotional can be a trick the mind plays on itself. When the left brain feels inadequate, the right brain rushes in to compensate.
Having to be personally responsible can be frightening. Fear can trigger emotion to fill the vacuum left by courage.
Tell her to focus on her thoughts and not to emote. Emotion is a liability. Gut feelings are to be acknowledged, quickly, not by dwelling on emotion, but by rational thoughts. Don't rush herself, give herself all the time she needs, she is worthy of that time.
Train her thoughts whenever you are interacting with her, by allowing all the time and attention that she needs at the moment.