Her words, the ones that would be given to the soldiers were spoken but the density of the snowstorm made it difficult for anyone outside of the soldiers to hear her words being spoken.
The soldiers chuckled, which was something they would've done regardless of the answer and would promptly leave.
Mifuyu allowed them to leave, there was no reason to kill them since she wanted to ensure the Dark Hand had received the message.
She wanted a moment to herself and once it had come and she was left with nothing but her ongoing blizzard to surround her, she had sighed heavily seemingly out of relief while staring at the scroll in one hand and the bag filled with an unknown essence in the other.