Physical Danger
None. Compare the physical danger you face with that of the other kind of headhunter, and you should be able to breathe easy. People don't like it when you shrink their friends' heads, and they might come after you with a vengeance.
Not so much in your line of work. You might tick off a company from whom you've wooed one of their top talents, but they aren't likely to blow any poisoned darts into the back of your neck.