Well, let's see... father-like figures in Annie's life:
Tony Carver: tried to do soul-surgery on his daughter, with unknown intent, nearly killing her in the process.
Reynardine: tried to steal Antimony's body, which presumably would have killed her.
Coyote: has repeatedly manipulated things to create dangerous situations that could easily have killed her.
Muut: manipulated her into the highly dangerous situation of dealing with Jeanne.
Ysengrin: literally attacked her himself, and also unnecessarily took her into a fight with opponents who intended to kill her.
James Eglamore: um... seems to conflate her with Surma. Which is bad in several different ways simultaneously. But he hasn't tried to kill her.
Less likely candidates:
Donald Donlan: careful not to tread on what should be Tony's turf.
Jones, Anja Donlan: I said
father figures.
Headmaster, other teachers: nearly invisible
Robot, Shadow: too emotionally young
Other robots: not around enough
Other psychopomps: ditto
Mort: seriously, there's such a shortage of good candidates that I'm listing a ghost who's gone? Too emotionally young. Oh, and gone.