Bad thing about cat bites is that they are puncture wounds which delivers a lot of bacteria deep into flesh (yeah, I know, you learn the hard way) and increase likelihood of blood poisoning. Also those puncture bites are not likely to bleed much which increases risk of infection. And the little monsters aren't known for warning you like dogs do. I hope you have been okey-doke since this adventure. I'm thinking heavy leather gloves and a burlap or canvas bag that cinches if you ever do this again.
As a big kitty lover, I appreciate the effort you guys put into rescues like this, as much to help the owner (or cat-slave, as they like to call us) with their emotional distress. It is true that kitty will come down eventually without any help, but still, it can be upsetting to people to hear a cat yowl for a long time.