So we needed Moiraine...[spoiler]

Didn't you all love that scene of Rand and Moiraine in aMoL:
"I have lived for four centuries", he said. "Perhaps I am still a youth, in that all of us are, compared to the timeless age of the Wheel itself. That said, I am one of the oldest people in existence."
Moiraine smiled. "Very nice. Does that work on the others?"
He hesitated. Then, oddly, he found himself grinning. "It worked pretty well on Cadsuane."

I love Moiraine, before she died and after she was brought back

I love her too! I love when Nynaeve rushes to her and instead of blowing up like we all expected on our first read, she hugs her and whispers thank you!

Moiraine understood the long game and that is something even the tower could not train into their Aes Sedia.