Yes, that's a really good example!
Consider this also - the smaller the animal, the faster they degrade. I wouldn't feed any rodent that was left out longer than 4-5 hours max (including thaw time). In other words, I feed jumbo beefy mice and it takes them almost 3 hours to thaw completely when just left out on the counter. They'd better be fed within 2 hours of them being thawed or in the trash they go. If I thawed them using hot water or something, the same rule applies: feed within 2 hours of thawing.
If your snake refuses the meal, I feel refreezing 1 time is acceptable so long as it is done within that 2 hour period. After 1 re-thaw though I feel the mouse will have degraded enough that it is no longer good.![]()