Just have a look there if you have time, otherwise you don't lose anything expecial.
Fun Alternatives: Odense is really a beautiful city and there is a lot to see too. Don't forget the "h.c. andersens hus" or "the funen village".
- Religious Travel
This tourist trap is one of those inavoidable ones but yes, the H.C. Andersen quarters are of course full of tourists, especially in summer, and therefore also full of souvenir shops.
Unique Suggestions: By all means visit it - you have to see the Andersen museum and the area IS pretty. Try to visit it off season if you want pictures without hundreds of tourists in.
- Historical Travel