Randers has 60.000 habitants while Horsens has 55.000...it's hardly that big a difference.
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The four biggest cities; Copenhagen, Aarhus, Odense or Aalborg would've been preferable options in terms of infrastructure, culture, nightlife, and hotel capacity, but since neither of them have any appropriate arenas I don't see why ESC should be held there at any cost. Copenhagen (and others) think they can rely on their name and location alone to host an event like ESC, so on the bright side I think it will be a bit of a wake-up call for "the big four" if Herning, a hard-working, provincial city in the middle of Jutland with 47.000 habitants, gets to host Europe's biggest TV-event.
Although I live in Aarhus now, I'm born and bred in Copenhagen, and even I can see that Herning and Horsens have by far the most competent and well thought out ideas for ESC 2014. Herning's got an incredible, top-modern arena and Horsen's got great location (very close to Aarhus) and possibly the most original idea for an ESC-hosting ever.
The only bid Copenhagen's got left now is a fucking tent!
To me this is a complete no-brainer...Horsens or Herning to host ESC 2014!