http://en.wikipedia.org/wiki/Hermeneutics
It isn't even "our time" that reinterprets religious text but, instead, it is our own individual concern which we bring when we attempt to derive meaning from a text. There is no one interpretation of the Bible today, there wasn't a single interpretation yesterday, the early Christians themselves drastically disagreed over the faith. People who read the Bible as condemning homosexuality as a sin do so because they will it.