Directorship (noun)

1. The position or role of a director, particularly in a company or organization.
2. The management or leadership of a group or organization by a director.

Origin:

From the noun director, meaning "a person who manages or leads a group or organization".

Examples:

1. He was offered a directorship at the company.
2. She accepted the directorship of the museum.
3. The directorship of the company was passed down to his son.
4. The directorship of the school was a challenging but rewarding role.
5. The directorship of the department was handed to a new person.