I mean, this is only going by my interpretation... I may be reading too much into it/going too far, but
What is an oath to a bladesinger? Why are their oaths so precious and important to them?
Each one held, each one fulfilled, they temper their resolve, strengthening their will, their heart, the strength of their spirit
The power in their song
Half of the song is in the steel blade they wield, the instrument of battle that sings in the air it cuts through
The other half comes from the wielder. To join their spirit with their blade.
I don't disagree that she could yet retain her class and features... but the main problem that arises is the fact that even if no other were to call her an oathbreaker, she is severely shaken, traumatized by what she couldn't prevent.
As a leader, she carried the weight of responsibility. All decisions effectively put to action by her approval. In this adventure, not a single one of her decisions has led to a good outcome - a moment of passion leading to naive and ill advised trust, the night in the forest a result of her overconfidence, the battle thereafter lost by her poor leadership, her choice of literal path in the temple that saw to the party's defeat and capture, and then at the very end, her very inability to put an end to it all. Her lack of strength to grant them victory from absolute defeat, rendering her gambling with the others' lives fruitless.
In the unposted in-between, she was literally an inch from taking her own life...
After all of this... from where can she find the certainty, and strength, to sing again?