I’m thinking that if everything else is working okay, it might actually improve your shooting, if you mean that your thumb will be rigid and not bend at the joints. Overgriping with the bow hand can result in torquing the bow, which you would avoid if you couldn’t bend your thumb joints. You might need to use a bow sling, which is something many competitive archers use anyway. Hopefully, whatever you’re having done won’t result in pain when you draw the bow back against the junction of your thumb and forefinger.