Just to be clear, this is the quote in question… “She’d rather address, in the summer, a sorority, a colored sorority, like she can’t get out of that.”
As always, context matters. A sorority is found only on college and university campuses. There are no other kinds (no work sororities, no neighborhood sororities, no social media sororities, no political sororities, no anything else sororities).
Since everyone knows sororities are college things, there was no need, whatsoever, to say “college sorority”. Kilmead said “colored sorority” to make sure white people knew that Harris was busy talking to black American women, instead of listening to an Israeli man.