The purpose of the Risk theme in PRINCE2 is to establish a cost-effective procedure to identify, assess, and control the uncertainties or risks that can affect the achievement of project objectives. This involves understanding how risks can impact the project and managing them proactively to ensure project success.
References: PRINCE2 Foundation Training Manual; PRINCE2 2017 Foundation handbook.

The Directing a Project process in PRINCE2 provides the Project Board with a mechanism to ensure there is continued business justification for the project throughout its lifecycle. This process is crucial for maintaining the project's alignment with organizational objectives and for making decisions at key points such as stage boundaries. References: PRINCE2 Foundation official documentation and study materials.

In the PRINCE2 framework, the team manager is the role primarily responsible for the welfare, including the safety and well-being, of the project team. This role involves managing the team environment and ensuring that team members are supported throughout the project's lifecycle.
PRINCE2 7 Foundation guide and resources detailing project roles and responsibilities.

According to the PRINCE2 risk management approach, a minimum requirement for applying the risk theme is to assess whether a risk may alter the project's business justification. This assessment ensures that risks are identified, analyzed, and managed in relation to their potential impact on the project's ability to deliver its intended benefits and justify the investment.
= PRINCE2 7 Foundation handbook and online resources

In PRINCE2, the supplier is responsible for providing the resources necessary for delivering the project outputs. This includes supplying the skills, materials, and technologies required to produce the products of the project, ensuring that these resources meet the project's specifications and quality requirements. References:
PRINCE2 7 Foundation Handbook and official training materials.