I think "hatred" is not really the correct term, except for some of the aristocracy. Alexandra, from the beginning, was "not like them". The Aristocracy loved its parties, balls, trips and social whirl of theatre, restaurants, dining salons and the gossip and intrigue that went along. Alix was none of those things. In an era when children were "seen and not heard" and primarily relegated to the care of Nannies and governesses, Alexandra was as devoted, loving and "hands on" Mother as any. She hated the social scene and found the Court gossip and intrigues to be repulsive. She was a very devout Orthodox, when the Aristocrats were more of the "for show" for their belief. So the Upper Classes resented her and disliked the way she cut off their access to the Emperor.
She was invisible to the people, she was painfully shy about public appearances, and after Stolypin's murder, she became even more reclusive. So the people felt no "attachment" towards her.
Thus, the vast majority of Russians at the time felt no "connections" to Alexandra. It is very easy to develop negative feelings towards someone you feel no connection to. This was the crux of Alexandra's problematic relationship to the people over whom she ruled.