Earlier quoted context omitted.
As others have said, the big guys (WGBH in Boston, WETA in DC, etc) will have minimal impact since they have a large pool of donors. But the little guys will suffer more. Ultimately, I think we can all agree that we hope the impact won't be catastrophic as far as the number of listeners impacted.
My guess is that things will largely continue as they have been, but we'll get a lot fewer of those cute little stories about a random one-off issue in a town of 300 people or whatever. Probably not the biggest loss if I'm right, but still a major bummer, and yet another connection between the rural and the urban is severed.
[1] https://en.m.wikipedia.org/wiki/Sinclair_Broadcast_Group