I went through the same issue when I woke up. We had already been going through a funk in the bedroom department prior to my awakening, but once she made up her mind that I was an apostate, there went any and all intimacy. There was even shunning from her at home. We went through a separation spell but have eventually reconciled.
I guess the big thing that "broke the ice" is when she no longer said that she views me as an apostate, but as an unbelieving husband. It was a painful process to get to that point, a process that included marriage counseling at her request. We finally addressed years of unsaid business. I had to reaffirm her that I wasn't a threat to her spirituality. If that is what she wanted to do, continue being a JW, then I would accept her for that, just as she would have to accept me as "no longer a JW." I even had to admit to her that I was the one who changed, not her.
But I feel your pain. It's not a good place to be at in a marriage. It almost led me to cheat on my wife. And thats the difficult part. I know it goes both ways. but I don't think JW women realize that by withholding in that department, it's only putting her marriage in jeopardy. And honestly, who wants to have "its my marital due" sex? That's no fun at all.
Good luck!