He accepts her hand and offers his arm should she want to be escorted more formally. There were enough inner twists and turns of Mythal's temple to confuse those that invaded that it would be far easier than trying to verbally guide her. Whether Elgar'nan would be annoyed that Solas was taking such liberties was beyond his concerns. None of his other servants would dear stop Solas with his position and would assume he had business with her. He had been present at her trial.

"There are a few steps here," he warns as he leads them up into the halls. As he continues speaking, there's a touch of concern in his next question, "Have you been able to eat today?"

Whether she's been allowed or her injuries have kept her from doing so. Thankfully those would heal with time.