"More vicarial" refers to something that is done in a substitute or delegated manner, particularly in reference to the authority of a higher-ranking figure. Synonyms for this phrase include "deputy," "proxy," "representative," and "delegate." Each of these words can be used to describe someone who is acting on behalf of another person or organization with a higher level of authority. Other options might include "substitute," "agent," "attorney," or "surrogate." Depending on the context of the situation at hand, choosing the right synonym can help to convey the appropriate level of formality and respect required.