How much you want to do depends on your preferences, and how long it takes you to pass Schengen passport security, but I will note that both the train and metro to the city centre are efficient and reliable, so the 20 minutes to Torvehallerne (I assume that's what
mec72 meant) is something you can rely on (metro M2 to Nørreport, 17min journey, train every 4 mins).
If you want to have airside time to shop and wander, then the Hilton may be your better choice as you say. The Hilton has a
lunch buffet 12:00-15:00.
You're welcome.