A monster how?
But the whole of society doesn't matter. What society finds acceptable is always changing anyways. You only need one person to accept you (yourself), and a second person if you're lucky. But I think there's someone for everyone. Even if you were the most twisted person ever-- there would still be someone out there equally as twisted (or super kind and understanding) that would absolutely adore you.
Don't give up hope just yet. Thinking twice isn't a no.