I don't hate her. She usually sides with me and hates the Thalmor almost as much as I do. Got nothing against the blades either.
But one thing I don't agree with is killing someone (or some creature), or she wont ever talk to me again...like evar.
Edit: I don't want to spoil it for those who havent done the main quest up until season unending. But you know what I mean.
So dont click on this link. http://www.uesp.net/wiki/Skyrim:Paarthurnax_%28quest%29