visitorship

visitor +‎ -ship.

visitorship (plural visitorships)

1. The quality, position of visitor, notably where that is a title:
   1. in an ecclesiastical context

      The visitorship in this nunnery is traditionally held by a Jesuit.

   2. in an academical institution

      Visitorships in reputed universities can significantly advance careers.

2. attendance, number of visitors attending an event, etc.

   The visitorship should not be a major measure of success for a cultural activity which requires a well-prepared audience.