A big deal starting today is that foreign spouses, partners and children of Danish citizens constitute a worthy cause.
So if my wife is a Danish citizen living in the U.S. and I am her American husband, we can enter Denmark today and need no particular reason for being there such as essential business.
If I am her partner, I believe official documentation needs to show that we reside at the same address.
I take it that you as a New York resident are allowed to board a plane.