Danish is an extremely difficult language to learn. However, it turns out that there are a few factors that can greatly improve your chances of learning it before other people. Today, I give you a few of those factors.
1. Have a Danish boyfriend/girlfriend or spouse. Your Danish teacher may very well assume that you have one, and therefore some of the homework that you are assigned will involve talking to said significant other. For those who do not have a Danish significant other, see option number 2.
2. Regularly go to a job where most of your colleagues are Danish and will happily be patient with you while you struggle to express yourself in Danish without switching to English, despite the fact that speaking English is far easier for both of you than speaking Danish together might be.
3. Be a highly logical person who already has a fairly firm understanding of grammar rules. Learning Danish will test the grammar skills of even the most literate of native English speakers. If you don't already have a basic understanding of grammar, learning Danish will teach you more about the structure of the English language than you ever thought you needed to know.
4. Already speak either German, Dutch, Swedish, or Norwegian. There are a few classmates of mine who, from early on in our Danish classes, were able to understand most of what the Danes said. At first, I found this extraordinarily frustrating. What was I doing wrong that I just didn't know what all of these words meant, even if I could understand what words were being said (which is a challenge unto itself, especially early on)? Turns out, the only thing I was doing wrong was not knowing one of the aforementioned languages. Enough of the words in those 4 languages (and possibly a few that I've forgotten) are similar enough to words in Danish that it's entirely possible to understand Danish very quickly.
Those who are lucky enough to fit into 2 or 3 of these factors will find themselves racing ahead of the others in their class.
As for me? The only category that I even vaguely fit into is #3. In most cases, I'm able to understand and remember the grammar rules easily enough. Unfortunately, it's the words that I have a tough time remembering.
There's very little that one can do with even a perfect understanding of Danish grammar if they can't remember any of the words.