In the end of Skyfall, M says that she did get one thing right. By my understanding she meant Bond.
But, what exactly did she mean in that dialog?
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She meant that she was right in trusting Bond to do the job, even if he failed the tests, and failed in the other choices.
M accepts her failure a little while before they get prepared for Silva to come.
M: I f**ked this up, didn't I?
James: No. You did your job.
She was right in one choice and James Bond proved her right. That's all she meant by that dialogue.