Well, she may have slowed down a bit from the open field running dodging sniper fire in Bosnia, but she may be able to feint right and grab the cobra by the neck.
The only reason Hillary would grab a fellow cobra would be to mate with it and now I have to go and drink a lot to get that vision out of my head.
If there is a heavy ashtray handy for her to throw at the mongoose, she might have an edge.