Final answer:
A new task given to an insecure employee requires a transformational leadership style to provide guidance and support, and promote a positive relationship.
Step-by-step explanation:
Based on the information provided, the appropriate leadership style for the situation of giving a new task to an employee who tends to be insecure and may feel threatened is a transformational leadership style. Transformational leaders are charismatic role models who inspire and intellectually stimulate their employees. They provide clear guidance and support, promoting a strong positive leader-follower relationship. By setting a clear path forward for the employee and creating a well-structured environment with clear responsibilities and little ambiguity, transformational leaders can help alleviate the employee's insecurities and promote their growth and development.