Rogue vs. Superman (not physically)

Okay, it's been said that Superman has the strongest willpower in DC. He and Rogue get into a battle and for the sake of argument she touches him long enough to completely drain his powers and consciousness into herself.

Would Rogue's willpower be strong enough to maintain control of herself, or would Superman's psyche take over?

I thought Hal Jordan had the strongest willpower - or Lobo - or Batman!
Rogue sucks the blue boy dry and doesn't get taken over by Kal.

Rogue wouldn't be able to handle that much energy.

8bitChris, the question isn't whether or not she could handle the energy, but if she could contain his psyche.