Can you take Ebby back to the vet and have your vet shave the fur off the tip of her tail. Any time any of my cats have had an abscess to their tails I have the fur shaved off this way you are not having to contend with the her fur getting in the way. Having her fur gone would probally make it easier for you to bath her. The fur could be "pulling" and that could be what is making her bleed after the bathing.

The shaving of the tail does not hurt them at all...they do tend to get upset about the noise that the electric shaver makes.

Ebby licking her tail is good for the wound....cats have a natural "antibiotic" in their saliva.

How about after the bath you gently wrap her tail in gauze....it would keep her from licking it so much.

Then there is always the "E Collar" but I really do not like using those.