Here is a wormhole as I see it:
Imagine a piece of paper, its a 2d world, your in it, blah blah blah. Typical 2d analogy that is used every ten seconds on this forum. Imagine you have a black hole on the paper; it has such a gravitational force, it curves the paper. Now, imagine there is a second wormhole, on the other side of the paper. The two wormholes curve the paper universe so much that they meet. Now, take an icepick and punch a hole in the place that the holes meet. That's my interpretation of a wormhole, please correct me if I'm wrong.
So, I think that if you went through a wormhole, one of two things could happen; 1: the wormhole is so small that only one object can move through at a time, or 2: the wormhole shrinks all of you to an infintessimal size; but it would shrink you and all of the objects surrounding you equally, so for example a rat is standing next to me as high as my ankle, if we all shrink, we would still be as tall as my ankle, only now both of us are tiny. Either way, no death.
However, the G's working upon your body, sucking you into the hole and shrinking you, would kill you instantly. So yes death