Eva attempted suicide twice before due to Hitler's emotional distance from her. Seriously, causing Blondi to die might have more emotional impact on Hitler. This is not an exaggeration; heartlessness leading to suicide attempts shows just how little Hitler cared about Eva Braun.
Do not forget Hitler's cousin Geli Rabaul, and the relationship that was flawed at the first and could well have ended with Hitler shooting her.
Getting Hitler to care about women and raising a family instead of preaching hatred would completely rewrite his character--but Hitler's madness had nothing at all to do with the women in his life, who, as far as I can tell, were moderating influences.
Making Hitler Straight instead of Asexual and he might have better things to life for than tearing the world to pieces...