48 hours ago I touched a street cat (who was friendly) whose fur was slightly wet. There was no scratch or bite by the cat. I noticed my upper side of fingernail had some skin peeling but, it didn't seem like open skin ( pics attached). I applied sanitzer 10 mins after and the fingernail skin didn't burn or sting so I guess it was not open. Do I need rabies vaccine. Showed it to my mom, she says such a minor skin crack won't do anything if I didn't get scratched by the cat. I'm hypochondriac and can't get over this.