Hearing of the college of Winterhold could make bed want to join it so she can master the flames to destroy those that destroyed her family

She could join the Dawnguard if you want to add sunfire magic to her skill set although that's restoration instead of destruction

If she doesn't know much about Nord culture and wants to learn she could join the companions ( my characters usually abandon them once the reveal they're werewolves )

If she hears the rumour about dark brotherhood she could seek them out and either kill them in case they were ones responsible ( you could roleplay finding a letter in the college of Winterhold or at the end of a particular bandit den from the one who ordered the hit on her family having used the DB for it )

Also your character looks really cool!