Sure, it works. I'd rather most characters have been personally grabbed (knowingly or not) by Lucifer and Metatron and have some vague clue of what's going on, but something along those lines'll be alright.
If it's acceptable, could you consider her being zapped into Nilfheim immediately? I don't mind what happens after that, as long as there's some semblance of "definite member of Hell's team, happily or not" thing going on eventually.
Just stuff to consider. I really don't mind if Strix doesn't really know what's going on and everything like you said. ^_~ As long as not everyone follows suit.