Your interpretation is very good.
However, he does state that if we cannot wait to have sex, then we should get married before participating in said act.
Paul didn't marry because he decided to dedicate whole his enthusiasm to preaching act. But if not he recommended to marry to young believers.
That is how misinterpretations occur, and that is truly bad.
I understand the context well, I just tried to shed light on the possibilities of other interpretations, mine itself is not a misinterpretation.