Final answer:
The manager is performing in the role of a figurehead.
Step-by-step explanation:
When the manager performs symbolic duties on behalf of her organization, she is performing in the role of figurehead. A figurehead is a symbolic leader who represents the organization and its values. In this situation, the manager is attending a fundraiser as a senior member of the management team to show support for a key client and the worthy cause they are sponsoring. This role helps to enhance the organization's image and reputation.