This is the 3780th most frequent Japanese word.
どころ
"どころ" means "place," "extent," or "point," and is also used in expressions to indicate emphasis or contradiction.
In this sentence, "どころ" is used in the expression "どころか" to indicate contrast, implying that studying is not even close to happening.
勉強するどころかゲームばかりしている。
Far from studying, they are only playing games.
Here, "どころで" is used to describe context, suggesting that the activity being discussed happened in a particular state or location.
これを読むどころで話すのが難しかった。
Far from reading this, speaking was difficult.
"どころか" is again showing a strong contrast or escalation, stating that the situation is even more extreme than just not having time to eat.