I would treat "why do you seem angry" as a shit test. Don't grovel and apologize. Don't give her a clear answer, answer in a way that amplifies the issue to crazy levels and hints at some kind of bad boy game or strong emotional currency so she gets mixed up trying to figure out if you were kidding.
"I was thinking about the guy I had to stab in prison."
"My estranged daughter is in Afghanistan."
"My divorce was just finalized. I'm glad it's over, but she still keeps sending me these angry messages every day demanding sex. Move on, you know?"
Then immediately change the subject and turn it into a compliance test, tell her what she's doing next and make it happen. "Try this drink."
If she brings it up later and doesn't realize you were kidding, clown her.
"What? I don't have a daughter, Jesus Christ."
"I was thinking about the guy I had to stab in prison."
"My estranged daughter is in Afghanistan."
"My divorce was just finalized. I'm glad it's over, but she still keeps sending me these angry messages every day demanding sex. Move on, you know?"
Then immediately change the subject and turn it into a compliance test, tell her what she's doing next and make it happen. "Try this drink."
If she brings it up later and doesn't realize you were kidding, clown her.
"What? I don't have a daughter, Jesus Christ."
Hidey-ho, RVFerinos!