Such emotional black mail and manipulation how do these kids survive.
Well... .surviving isn't easy but it does help that you talked to your granddaughter and also do your best to be involved in her life. There are many children of BPD parents on this board and I know from personal experience that it really helps if they have some positive adult influence in their lives that might give them at least some of the love and attention that they aren't getting from their own BPD parent.
What do others do in this situation apart from not be as dumb as I was today! And I actually wasn't angry just a bit over her attitude! !
This happens to the best of us. I suspect you weren't just reacting to this incident but also to certain past incidents. It might help to keep in mind the concept of J.A.D.E: Justify Argue Defend Explain. Are you familiar with J.A.D.E.? Whenever you feel provoked or the need to engage in circular arguments, just don't. Whenever you feel like justifying your behavior, arguing, defending or explaining yourself or counter-attacking, just don't. That's the key to J.A.D.E.: just don't. Easier said then done of course in the heat of the moment but if you keep repeating these kinds of things to yourself and keep practicing, I do believe it can become easier to not J.A.D.E.
Have you talked to your ex dil since this incident? If you have, how did it go?