So she can't have children. I can't have any more children and when I was told that, I was somewhat at a loss. Not that I wanted to have anymore, but the choice, as a woman, had been taken away from me.
Have you discussed her feelings about this? Is it possible that she feels neutered? Feels less like a woman? Grief can play hard tricks with our minds. While mentally, we know that sex is more than procreation, is it possible that she feels that there is really no need to make love because nothing will come from it?
Just some thoughts that you might want to explore with her if you can.
And just a heads up. I slept on the couch in my first marriage to avoid the confrontation of sex. I also said that it was because he snored. In my current marriage, there are times that I have slept on the couch because of snoring. The difference is that in this marriage I start the night in our bed. If he wakes me up with his snoring and rolling over does not work (like when he has a cold), I'll get up and go to the couch.