I hope all goes well today!
It is possible that she may not be reacting because when there is trauma, the nerves sometimes go "numb" from swelling, etc. It seems to be an individual thing.
If the tail is still split, depending on the health of the skin and how much, if any, of the underlying tissue is exposed, she may need a small piece amputated. But, let's hope not!
for you and your kitty today!!!