Sorry to go against pro-diversity hire grain, but with Wilmore replacing Colbert and doing seemingly nothing but minority jokes so far in the episodes I've caught, I really hope they keep the Daily Show hosted by a "boring white guy." I have nothing against Mandvi or Bee or Cenac or Madrigal getting shows. Actually I'd prefer all of them to have replaced Colbert than Wilmore, who I never really liked, but I feel like two non-white males in the hour block would be compelled to spend too much time on minority/womens issues and make it unwatchable. Also, when you're going up against FOX and cable news BS as the main source of comedy, I feel like it comes stronger against those types if a white male is delivering it.
The only possible exception would be a Kristen Schaal host, who is too awesome to contain.
Not sure why you think a female host would need to spend a lot of time talking about "womens issues". T
Schaal strikes me as a "one trick pony", not sure she would work. I find Madrigal and Mandvi unfunny. Madriagal to a "why is this guy a comedian?" degree.