[@Progenitus]
Because
>super-intelligence
>super-intuition
>supernatural problem-solving skills
>biggest brain in team
>experience with working as a part of organization
Sawbones can literally substitute her intuition and intelligence for charisma and natural charm if she studies the people she tries to influence for a while. Not to speak about pheromones which can make everyone be compelled to be nicer to her.

Also, she's tied for being the most grown-up member of the team which counts for something in a society of kid murderers. And Loud Love personally would also vouch for you in hopes of getting sick genetic enhancements.