Each leadership style has its own pros and cons. Elisabeth has to be emotional intelligent leader to manage the diverse team.

https://hbr.org/2004/01/leading-by-feel

There are many and it is dependent on the nature or type of the projects, but i would route for democratic, situational, and participative.

Elizabeth can use two types of leadership are democratic style and otoriter style. Sometimes she can use a demoratic performance style but sometimes in urgent or insidental condition she can use otoriter performamce style.