Connor hates her; he thinks he had always hated her. She's bright and shiny even though she's lived through Hell in more ways than one and multiple times. She's weak, even though it is her that everyone depends on to be their constant, their rock. She's smart, a smartass and intelligent, even if she is totally naive. She smiles and giggles even when her own world is crashing, just that others feel at ease in their own. She is all these things and he hates her for it, because he knows it's killing her and she doesn't care as long as her family has a few moments of joy.
He hates her sister more. The woman everyone ignores her in favor of, the woman with supernatural power and no idea that she's breaking her only living relative. The woman that everyone depends on for leadership and protection, even though they can take care of themselves if they'd just fucking TRY. The woman whom she won't go to with problems, doesn't want her sister to have to worry more about her, the woman who can't see her that sister's spirit quietly dying nor that the monks mistakes could cost them all a piece of heaven.
He doesn't hate the other souled vampire, the one who actually does look out for her, but he knows that he can't fix all that is broken either. He tries but the others just break more little pieces and Connor knows the vampire's heart breaks a little more every time she pushes down her needs for theirs. They both know she'll be gone soon.
He does however hate his father, their father. He doesn't see why Angel doesn't see that his daughter is far more broken then his son is. She never even knew he was her father for years, until she was nearly twenty, and she actually NEEDS him. He hates that their father loves her sister/mother more than he loves either of them, but especially her. She deserves love, she gets so little.
But above all Connor hates himself because he knows that his blood is damning her as well as saving her. He has to do it though, has to save his little sister's life, he needs her, needs her to be the wonderful sister/woman/confidant she is.
So as Buffy screams about stupid monks and Angel rails about the Powers that Be and Spike weeps silently in the chair between his and hers Connor donates his blood to his sister and prays to all that is holy and all that is unholy that she will survive, because as much as he hates Dawn, he loves her far more.