Barda thinks that that means that Superman is under Sleez's control, so she attacks Superman and knocks him out.
We see who did the attack.
He has written two books about comics for Penguin-Random House — Was Superman a Spy? As we can see, however, in DC Rebirth, he is alive once more! It is not explicitly stated that she's having sex with someone -- she could be doing something else that Scott Free Mister Miracle finds offensive.
Each material has its own author and owner, who we are not.
Now, let's be frank.