How big is it? How pronounced is the death curl?
I've caught a sling in a "slight death curl" position after molting. It scared me, but I think it was just stretching. In fact, I reacted just as you did and almost put it in an ICU. But after I thought about it for a minute I decided not to and everything ended up fine.
However your case sounds like it could be more serious. But it could be that your T is simply not moving around because it just molted and it's stressed.
If it's just a "slight" death curl, my advice would be to wait it out (this seems to be the standard advice). If it's a serious death curl, I dunno.