I like the idea with the Contrast Keyword and would like to emphasize that Ling Qi is known for doing things no one, not even herself would have expected beforehand. Training Coldstar Blade would, in my eyes, gain tremendous narrative weight by the idea alone that she is able to combine things and ideas which no one thought possible and make her able to view the world from a different light. Being able to look at both sides of the coin, if you want to look at it that way.
That is not even mentioning the obvious. To become a "proper" Noble, it is expected of her to know how to wield "proper" weapons like a sword. Right now she is simply the cultivator with the flute and music. Ling Qi in her path until now primarily damaged her foes through "indirect" means like the frost of winter, sucking the souls of the enemies dry through mist or using a bow. She wasn't directly in the face of the enemy dealing damage physically. Like her touch of frosty death, Ling Qi let the vibrations of her soul deal the damage. That is atleast the image everyone seems to have of Ling Qi.
In conclusion I will say that through cultivating Coldstar Blade Ling Qi will also cultivate a new contrasting image of hers for herself and her enemies/friends. Ling Qi will be COMMONERBORN/NOBLE LADY and not simply be COMMONERBORN. This would allow her new ways to interact with the nobility of Emerald Seas and beyond.
She is after all more than just a Shadow of Cai in a white gown. Ling Qi is a Songseeker with a Home and Roots in the Emerald Seas, willing to walk path of Cultivation in spite of her origins and together with every friend and ally they will at least try to make something beautiful out of it!