Was Bill Nye embarrassed when Ken Ham was wiping the floor with him during their debate ?

It's your fictional scenario, you get to decide what your characters feel.

No, the only thing that needed wiping off the floor were Ken Ham's tears from being butt fu<ked in his own museum and fans. Bill smoked him.

Bill was naïve enough to believe one can debate a belief. I guess he didn't understand that logic and facts are not required for one to chose to believe in any of the many gods.

Ham embarrassed himself in that debate.

Probably embarrassed that Ham was so uninformed about basic facts.

No.
Bill Nye has no shame.
So, no, not embarrassed.