Meaning of 旨 in Japanese

彼女から結婚できませんという旨の手紙が届いた。
I received a letter from her to the effect that she couldn't accept my marriage proposal.

あなたが言ったことはおおむね正しかった。
What you said was in the main right.

「時間通りに、自分の教室に旨く行き着くことができる」と彼は考えた。
"I can make it to my class on time," he thought.

あそこの食べ物はうまいし値段も安いが、地の利が悪いのが難点だね。
That place's food is great and their prices are good but the fly in the ointment is their terrible location.

それはあまりにもうますぎる話だ。
That's too good a story to be true.