It's hard for you to breathe when you put your finger down your throat like that, isn't it?
If you jam your finger all the way down your throat, it doesn't feel very good, does it?
この場合、次のような言い方ができます。
ーIt's hard for you to breathe when you put your finger down your throat like that, isn't it?
「そんなふうに奥まで指を突っ込んだら苦しいでしょ」
to put one's finger down your throat で「指を奥まで突っ込む」ことを言えます。
ーIf you jam your finger all the way down your throat, it doesn't feel very good, does it?
「喉の奥まで指を突っ込んだら苦しいでしょ」
実際に喉まで指を突っ込んでいなくても、down one's throat のように表現します。
ご参考まで！
カナダ 
