Cat bites no matter how minor can lead to serious infections! Glad you're taking care of it now before you lose total control of your arm. I got bitten badly years ago from a feral who had escaped into the back room at a shelter I used to help out at. I went in to get her conatined in a cage again, had a sheet over her, but the angle was awful for getting her wrapped up. I suffered a nice deep bite right through the meaty part at the base of my thumb and palm! I was out of commission for well over a week, but did get it treated right away. Including a tetanus shot. Blood poisoning from cat bites is not anything to mess with, and the red line going up your arm is indicative of it. So glad you're getting treatment! Hang in there.