Upvote:2
Despite having uniform standards, some Schengen countries are more relaxed in issuing visas. Iceland is one of them, having the lowest refusal rate for the issuance of uniform visas. As long as you show enough financial resources - it is quite expensive country, even in winter (although way more expensive in summer) - you should be fine.
On the other hand, visiting Iceland in December makes sense only if you're chasing northern lights and enjoy cold weather. There's only five hours of sunlight a day, and most sightseeings are far from Reykyavik (1-3 hour drive). And it is cold and miserable.