From all reports, Show is legitimately very strong, and by "winded" it's being made like he'll make a move and then be gasping for breath. I doubt that.
We're also assuming he'll be slow, lumbering and take his sweet time like he does in the ring, but I have no doubt at all that he could be quick if he really wanted to.
That being said, Angle's training would allow him to prevail, though Show's size and strength advantage would play a significant factor.