Just because she is saying tragedy, doesn't mean she didn't cause it.
Here is the contention, she says she heard the cries of Ardenweald.
Ardenweald has been crying since Legion maybe before when the cycle was broken.
It's been a long time for her to be sitting on her hands to just so happen to have the Attack on Teldrassil to occur and for her to be like "ohh this is good, off to Ardenweald with you, how convenient."
EXCEPT
Dead NE are almost certainly going to Ardenweald anyway. So why would she say "I sent them to you", she doesn't send shit there, the Arbiter does. If she had any control over the souls, they would have made it to Ardenweald regardless of the Arbiter not functioning, because she would have personally skipped that step of the Arbiter judging them.
Her next line, "I've condemned them." Seeing as she doesn't have any control over where they are actual going to go, this can only mean one thing. She set about the circumstances that lead to them dying and being released into the cycle of death which she incorrectly assumed would lead them directly to Ardenweald.
If you are forced to sacrifice 50k people to save countless more, that sacrifice is still a tragedy, but it was done for a greater purpose.