Therefore it's entirely possible that he's referring to ....
And their relentless pursuit of late fees.
No, anything but that!
More seriously though, I was just being cute before when I said Griffyn612's summary of "what stalks us all" reminded me of "Empty Night." But as I think about it, I think that may be the honest correct answer, the summary of all the candidates proposed. "Empty night" is the favorite curse of the WCV, but it had one other very prominent appearance, on the lips of none other than Mother Summer:
"Ah, yes. I see," Mother Summer said. "So many new futures unwinding."
"Too many bright ones," Mother Winter said sullenly.
"Even you must think better that than empty night."
Mother Winter spit to one side.
This conversation was brought on by Harry learning of Nemesis. This change brought on the possibly many bright possible futures, and apparently was a blow against "empty night" coming to pass. We also have this quote from Mab, in CH:
"I am Mab. The stars will rain from the sky before Mab fulfills not her word."
It isn't a big leap to say that Mab has given her word to protect our reality from Outsiders. The consequence of failing that, an Outsider invasion, would put out the stars in the sky, unmake our existence as we know it. That is the known goal of Nemesis, bringing on this "empty night." That phrase is shorthand for the horrible apocalypse that would befall us if Mab failed to keep her word and safeguard reality.
So, when Lea said “I grew too arrogant with the power I held. I thought I could overcome what stalks us all. Foolish." she means she thought she could prevent empty night all on her own. I had been playing with the idea that perhaps Lea attempted something more overtly pro-outsider, but I think I've been talked out of that. Nemesis doesn't seem to work that way, anyway. It seems more to encourage a being to take their desires further than is rational, and to allow them to overcome foundational rules, such as a fae lying. Lea has shown several times that she has the impulse to try and overcome Mab, to "take the lead." Their relationship is one of slightly mismatched rivals. She even goes into detail on the topic in GS:
"In all of winter, I am second in power only to Mab. Which she has allowed because I have incurred with it proportionate obligation to her. She is my dearest enemy, but even I do not owe Mab so much..."
My godmother was what she was, a being of violence, deceit and a thirst for power... and believe me, if Lea had been the high priestess of murder, blood lust, scheming and manipulation, then Mab was the goddess my godmother worshiped. Come to think of it, that was probably an apt description of their relationship.
Lea's statement could be read that she tried to overcome Nemesis on her own. Or a simple overstepping of bounds, speaking out of turn or making a decision without consulting Mab first. It could also mean she interfered beyond her station in the war with the Outsiders. Maybe even an action that might have eventually led to Mab's ouster, similar to Maeve's goals. But unlike Maeve, she became self-conscious of the change within herself, and recognized it as a problem, perhaps she even knew it was Nemesis. And so she went to Mab.