Should I Be Worried About Rabies From A Small Cut After Touching A Dead Bat In A Chlorinated Pool?

I have a small cut just barely on the top of the skin on my hand. I stuck my hand in a skimmer of a pool with a dead bat or passed out bat. The pool is chlorinated at least above 3 ppm (parts per million ). Should I be worried about rabies ? Or saliva in the water of the skimmer ? Does the chlorine kill rabies virus fast?