Oh people.
Just how many sheep (pigs, billy goats, rabbits, etc etc) do you think there are every year whose owners would prefer they didn't have to be slaughtered?
By all means ask your local petting zoo / childrens' farm, then you'll know you've tried - but think about how many more times in the rest of your smallholding career you will be in this situation, suck it up, and send her to your local abattoir for mutton.
I do know how it feels, yes, but it really is something you have to get used to, especially if you are breeding stock.