LOL, my thoughts exactly...not good. However, I do recall Rush saying he was once introduced to the Hilda-Beast, and though quite awkward I'm sure, did not interfere with the time-space continuum.
It may be that a Rush/Hillary encounter is more of an irresistible force meets immovable object kind of encounter, thereby preserving the time-space continuum for future generations while accomplishing absolutely nothing useful whatsoever.