There are several qualities that I find admirable in Alexandra. Here is my laundry list, so to speak...
1. Her sincerity was genuine. Right, wrong, or somewhere in the middle, most everything Alexandra did came from her heart. The story of her coming to Russia a shy, inexperienced girl thrust to the lions of Russian society has been told a thousand times, and it is true. Her shyness may have inhibited her from forming an "acceptable" circle of friends, but somehow I doubt it was just that. She found the fakery and banality of high society repugnant and refused to be a part of it. Many people accuse of her not fulfilling her duties as an Empress in this way, of being the anti-Maria Feodorovna, somewhat of a failure as a consort in this regard. While I understand her social role, in my own personal value system I admire her much more for not "playing the game" and remaining true to herself and what she believed was best for her immediate family.
2. She was charitable. Matushka's post summed this point up beautifully to me. She didn't just name hospitals and visit soldiers, she cared for them. People will question her motives, and delve into psychological reasons why she felt the need to do this, but I'm of the inclination that Alexandra was a nurturer who truly felt a desire to help (however misguided or resented her actions ended up)
3. She was loyal. Her love for Nicholas was boundless and she was utterly devoted to him. The fact that he loved her back in kind is a testament to her good qualities as well, as I believe that there are many good things about her which he saw and knew that we will never know about this intensely private woman. She married him knowing that she needed to produce an heir, true, but no one knew how difficult that was going to be. She went through sheer hell to eventually bear Alexei, at the expense of her physical and mental health. Her loyalty extended to her friendships (Sonia Orbeliani comes to mind) even to her own obvious detriment. People may say what they want about Rasputin, her attachment to him, etc., but from an objective standpoint I'd have to say that if I wanted a friend in my corner that I
knew would have my back if I was threatened, I'd choose her over Nicholas in a heartbeat. Nicholas was a waffler, but not Alexandra. I appreciate that completely.
4. I don't think that Alexandra was perfect, not by any stretch of the imagination. She had a LOT of faults, some of them exceedingly serious and the cause of much harm to herself, her family, and untold others. But I DO think she was greatly misunderstood. She had the best of intentions and truly loved Russia in the most honest and pure way that she knew how and understood. Unfortunately for herself, for her family, and for Russia, the shape of her intellect, heart, and opinions didn't fit into the mold that Russia wanted, and perhaps needed, them to fit into. That to me is the real tragedy.