Replying to Fuck you, dad!

So, I'm online talking to my dad, and then my friend pops up asking if I want to go to lunch with him. As a joke, I say "Fuck you, fag, go die in hell." I press enter, and it doesn't appear in my friend's chat window, but instead in my dad's. He started laughing and called my mom over to see and now they're both laughing and I'm embarrassed. Hahahah I can't believe I just cursed my dad out like that, even if it was a mistake. Even as I was about to press Enter I tried to make sure it was going to my friend and not my dad, but I guess I didn't check hard enough.