Alice, it looks like the split has "healed" and the caudex base is still nice.
Good that you rescued her. Besides the grafting scar, there's a horizontal scar just below it. Also, a branch was allowed to grow from the root stock. Now if the flower from that branch happens to be very nice, you've got a bonus...two kinds of flowers on one tree!
I had to look up N.M. ..... hmm.