You know, I can easily see different paths that Syn could take in her life,
We all know her to be a sweet, [now quite deadly] innocent girl who doesn't remember a thing about herself. And she told herself that she drank lethe to forget so she believes it to be a terribly past. But if I wanted to have her remember, I would just make up something, like how she bought it from a stranger, who just happened to have some and it was actually a potion that erases memory, so in reality, she could be made to remember. And then her memories are either so horrible that she thinks, somehow, that she is evil, or she just goes crazy or something.
And then there is the Adam situation, which could have two to three main directions.
One would be they get back together and everything is wonderful and such and such.
And the second and third are a variation of it not working out. Firstly, she could get over it, and realize "yo, there are plenty more fish in the sea!" And then she meets some lovely guy and great things happen.
Or, much more likely, I think, it doesn't work out, and Syn doesn't really get over it. So by some means, she ends up as a Hunter of Artemis. Because that, I realize would suit her beyond all things logical. If she hadn't ended up with Adam, I probably would have made that happen.