Just for clarification, Elsa is still the crown princess, but Anna has the white hair.
Anna awoke with a strangely hollow feeling. She sat up yawning, her hair tangled, and prepared to wake Elsa. But when she looked around, Elsa was nowhere to be seen. She huddled in bed, afraid to get up.
After what seemed like hours, the doorknob turned. She shrunk back under her sheets, imagination working overtime. It was Queen Idunn.
"Mama!" cried Anna in relief. "Where's Elsa?"
"You remember last night." It was not a question. Anna's face fell." You mean... You fired the servants? I can't see Elsa anymore?"
"Its for the best." The queen unconsciously echoed the king's words. She left the room, closing the door with a soft click. To Anna, it seemed to have a dreadful, hollow bang of finality.
Several rooms away, Elsa was dismantling the castle in a frantic search for her sister.
"Elsa, time for your lessons." said King Agdar, approaching her.
"Where's Anna?" asked Elsa.
"Anna's fine." assured the king. "Now come along." Elsa smoothed her skirt resolutely. It was obvious that her parents would be no help whatsoever. She knew that as Crown Princess, her first duty was to the people. But what about family?
As soon as she had a moment to herself, she searched the castle methodically, knocking on each door. But her days were filled with lessons and royal visits. The servants seemed to lessen, and soon, the only people she saw were her tutor and her parents, who evaded her questions about her sister.
King Agdar and Queen Idunn went to Anna's room every day. Her powers grew more wild and uncontrolled. Her entire room was filled with snow drifts.
"The gloves will help." said King Agdar one day, presenting her with a pair of gloves.
"No! Don't touch me!" shouted Anna, flinching from his touch. "I don't want to hurt you."
Queen Idunn touched her husband's arm, her eyes glittering with unshed tears.
Two years later
Outside, the first snowflakes of winter drifted to the ground. Elsa saw them and sighed. She remembered playing with Anna in the snow. They had so much fun together...
She escaped her tedious tutor, and started searching the third floor. Knock knock. " Anna?" No answer. Move on. Knock knock. "Anna?" No answer. Move on. And so her search continued.
Much much much later that day...
Knock knock. " Anna?"
"Elsa!" The answer was immediate.
"Anna!" shouted Elsa, forgetting that the Crown Princess does not raise her voice. "Come out!"
Silence.
"Anna?"
Silence.
"Anna?!"
More silence. Finally, Elsa gave up, and walked sadly away. Inside the room, Anna had her face buried in her pillow. Ice and snow swirled around furiously. She could not trust herself to speak.