You must let that wrist heal. And while you're at it, switch to wire wedging. I learned to wire wedge (sometimes called "Stack and Slam") 40 years ago, and couldn't figure out why people complained so much about wedging - until I saw what they thought wedging was, LOL!
You can do it without having a permanently mounted wire at your wedging bench, but having one really makes the whole process even more of a breeze. I have little arm/hand strength, very limited mobility in both shoulders, bad wrists, AND bad elbows, but wire wedging is limited only by my ability (or lack thereof) for standing.
Here are some links to show you what I'm talking about and explain it all:
Ceramic Arts Article on Stack & Slam (Michael Wendt)
Stack and slam video demonstration by Michael Wendt
Notice that he never kneads the clay. I never knead the clay either. I don't hold onto it all the way down like that (pretty sure that would hurt me, LOL!). Instead I fling it down from however high I can lift it, cut, turn, do it again. It works just dropping it as well though it takes a bit longer. It really takes very little effort, other than just having to stand there. I CAN do it sitting on a stool but I just prefer to stand. I feel more solid standing to wire wedge.
Here's an earlier discussion about this issue.
Wire wedge. It'll be so much easier on your body, I don't know why anybody does it any other way. But you'll STILL need to let that wrist heal up!