I think my DH, like yours, will never understand the difference between a stepchild and a biochild. Even if you raised them from toddlerhood, there's still a whole other family she has and a distance there. I would say what you experienced through her teen years is not uncommon. Unfortunately teen angst is often directed at the most convenient scapegoat, which may have been you. My sks are adults and I still sometimes deal with stupid things regarding my DH "protecting" them. HE brought up that many people with artificially blonde hair don't look so good. I mentioned that BM and SD don't look good as blondes. While he's quick to rag on his ex, he got his back up about his daughter. Well, hun, it's TRUE! But how dare I mention it.
If she wants nothing to do with you then be civil but don't go out of your way to be same-same. You don't get same-same when you treat someone poorly.
My DH also often said I don't like his kids, I resent them, I make it difficult FOR THEM. Well, take a look. THEY made life very difficult for me. It's a two way street. I bet that it's the same for you. If this affects your marriage, please consider a family counselor that specializes in stepfamilies. Issues with my husband regarding his older children nearly ruined our marriage. It is NOT a coincidence that our marriage recovered when they moved out to college/on their own.
I really feel for you. I completely understand. It's a hard, thankless job. Stepmothers are seen as invaders while stepfathers are seen as white knights. Please keep advocating for yourself and also letting him deal with her behavior more than you try to keep the peace or pick up the pieces. My DH had to bear the brunt of his children's behavior before he would address it. He didn't like it when I said, "And THIS has been my life for years" but at least he finally opened his eyes some. It is a fine line and it never fully ends. If my daughter falls for a man with kids some day, I'm telling her to RUN.