Refreezing meat is not discouraged because of dangers but for a deterioration of texture.
If you freeze a piece of fresh meat then defrost it and refreeze it, the texture of the still raw meat will suffer. That's why they say to cook it before refreezing. The same goes for a cooked ham that is frozen then thawed to add to a soup. As long the meat was kept properly refrigerated all the time, ther won;t be a problem.
"If you want to make an apple pie from scratch, you must first create the universe." -Carl Sagan