If she is saying this at this point it feels like she feels that he is neglecting her to play video games
So the line 'While you are obviously more important to me than some silly games' is not obvious at all, to the point where she feels like she is not important to him at all and thus worth ending the relationship over (since there is effectively no relationship)
In fact I'd argue this is a complete strawman of a meme and designed entirely just to make 1 person look bad and the other feel smug and superior 🤓