Oh, trash bin.
It's not about what you feel, it's about what the snake feels. I promise it would rather stay home to eat. You will find experienced keepers feed in their snakes cages.
If I get a refused feeder I will only refreeze it one time and only if it has not been thawed long. I thaw in water so I'm usually good to refreeze. If you let it sit out to thaw I would toss it.
If it is refused a second time I will feed it to one of my other snakes.