"Hende" seems to be inaudible correctly. Am I the only one hearing it wrong?
No, you're right. It sounds wrong (reported).
Is Danish like German in which there are two words for "know"? Like know as in familiar with and know as in know as a fact?
Yes, from my very basic knowledge of German:
at kende = kennen
at vide = wissen
Listen siger: vagten kender hun, og slower siger : vagten kender hende !!!