All I can tell you about what happens next is the impression I got from manager Fredi Gonzalez last night, and that's the Braves plan to be patient with Minor and keep running him out there, at least for now.
This almost absolutely means that General Manger Frank Wren is thinking the opposite, and Minor will be replaced on the roster the next time through the rotation. At least, that's what has happened the last few times Fredi has commented on a roster decision.
As some others have suggested, it does seem Minor is having some problems pitching out of the stretch and maybe that’s why he struggled so much last night
... do not be afraid to mention Talking Chop by name, or even throw in a link to this story about Minor's stretch splits.