My (29m) sister (32f) struggles with depression. I have always been there for her. She currently is unemployed. I work a labor intensive job from 7-4. Last night she asked me if I wanted to hang out. I feel like the text transcript will help:

Her: Hey want to chill tonight?

Me: Super tired, I'll be home playing video games, feel free to stop by but I'm playing with a friend at 7:30.

Her: ok cool

She comes by, I take a break from  my game to play super smash bros with her for 45 minutes before my friend gets home. I tell her I'm gonna go chill in my room, and I put on the Office, her favorite show, basically inviting her to still hang but I wanted to game with my friends. At this point she doesn't say a word but packs up her things and leaves. Not in a nice way, but in a passive aggressive "oh you have no time for me? fuck you" way. Am I the asshole?