Your use of "only" is undeservedly generous of the attitude reflected on that slide. Furthermore, the slide actually doesn't even really address gender as a reason to disqualify someone, just race. They aren't talking about having a diverse group of people, including white males and females, leading diversity. Instead that slide near as I can tell communicates a policy of excluding white people.
Furthermore, I don't understand the racist attitude that somehow white or male people are somehow less qualified to lead a diversity program. Interpersonal skills, knowledge of the myriad diversity initiatives and approaches tried elsewhere and how effective they have been, knowledge of hiring practices, knowledge of recruiting practices, knowledge of retention practices, knowledge of the law surrounding hiring, recruiting and retention practices, professional network, etc. are all the type of things that should be relevant when choosing the most qualified candidates for such a position. Discounting all these and elevating someone's race and gender to utmost importance is blatantly racist policy/attitude.