Okay, I love Elizabeth because she's capable of being so far wrong she's approaching right from the opposite direction, and she's capable of acknowledging this. She's capable of looking at her privilege and then working it (eg "The entire British navy is out looking for me! Just you wait, Captain, another hour, perhaps two, and we'll be seeing sails on the horizon.") I love her for not letting the little girl who loved pirate stories and pirate songs get buried beneath the proper lady, and I love her for being sufficiently savvy to be able to realise that the tricks she's learned for dealing with upper-class flirts will work just as well against lower-class ones. I love her for being willing to sacrifice everything (even the option of marriage) for love, and for being sufficiently honourable to be willing to stand by her promise even though she knows she won't be happy.
This doesn't stop her from being one of the more aggravating characters I've run across in my lifetime.