YOU SAID:
Would you like me to make you a cup of tea?
INTO JAPANESE
あなたにお茶を飲ませてくれませんか?
BACK INTO ENGLISH
Will you give me tea?
INTO JAPANESE
お茶を下さい。
BACK INTO ENGLISH
I'd like some tea, please.
INTO JAPANESE
お茶を少しいただきたいのですが。
BACK INTO ENGLISH
I'd like some tea, please.
That didn't even make that much sense in English.