That statement and action

In the midst of a physically comical skirmish, one guy would throw on a pair of glasses he must have had in his pocket the whole time and say, "WAIT! You wouldn't hit a guy with glasses, would you?" For some reason, the moral of the times must have been, "Don't hit a guy with glasses" because it was that statement and action that made the opponent end the fight because no proper man would hit another man wearing glasses.

Hi,

I suppose that statement means "Don't hit ..."

What does that action refer to in the above?

Thanks.