Yeah, I agree, she is moving on perhaps a little too fast, especially since he is the love of her life.
But I guess it's her way of not having to endure any more pain of such a loss if she moves on from him. I thought there was hope in the 2nd part of the double episode too, you could definitely see their love for one another was strong as ever.
I hated how Cole was treated like the villain too, it certainly wasn't his fault when the Siren took control.
Aww love the gif.