She struts, she huffs, she stamps her foot. She pokes her long finger where it does not belong. She annoys him to no end, and he just smirks in response. Despite the fact that his knowledge of psychiatry is sketchy, he thinks that he understands her, that woman who is a living contradiction.
It is obvious that the empress doesn't find him attractive, however, she never doubts his professional competence, and for that fact Law feels gratitude.
She calls him neither by his name nor by his rank. To her, he'll be forever 'that doctor'.