Let her kill it. But you have to supervise. Never leave a live rodent (with eyes open; pinkies and fuzzies are OK) with your snake unsupervised.
But, again, I wouldn't resort to live yet. It hasn't been that long, you haven't been offering the right size, and she looked interested in the f/t rat. So I think she'll take f/t if you keep trying. Your choice.
Oops, just saw you tried a fuzzy mouse, not a rat. Still too small. They don't recognize it as food if it's too small. If you can't get a hopper mouse, try a small adult mouse---they're easier to find. She should be able to take that, as long as it's about as big as her widest girth.