The overlords that give the HATO faction of the EU, that runs the EU, it's marching orders are deliberately divorcing the US from the EU. Trump is just as much a pawn as Analena Baerbock or Ursula Von der Leyen. Successful (and surviving) politicians generally do what they're told, by folks that feel like they can tell them what to do because they can fund it. When someone dumps $100M on you, you listen up. Would be politicians that aren't funded end up like Georgescu, barred from running for election. The whole world is broken and this is the new normal.
We're not really running democracies when oligarchs pick and choose who runs and who doesn't and who has $100M to run with and who doesn't. That's really just plutocracy with a democratic icing. Denmark can't do much with Greenland and given the increased traffic the Arctic is going to see going forward, undefended Greenland is really and actually a 'kick me' sign taped on America's back. 55k unarmed residents aren't going to secure it. The marching orders of the EU from their oligarchs are to keep the Ukraine at war and Denmark is doing their part in that, and won't arm Greenland instead.
I'm not justifying any of these plans or the desecration of sovereignty by the planners. I'm just noting that it is happening. Anyone that wanted to really threaten the US could disregard the wishes of Greenlanders and drop a few troops armed with medium range missiles on it. That would be a lot harder to deal with then than the potential of it happening can be now. Denmark isn't actually threatened by that either, other than of losing control of it's vanity possession Greenland, but the US sure is. Make of that what you will, but it's the reality on the cold, hard, frozen ground up north, and 55k residents don't have the arms to say squat about what any medium sized municipality on the planet has enough resources to do, which is take Greenland from them at will with a few mercs, much less a couple hundred actual countries, armed rebellions, and terrorist drug cartels armed with weapons that were sent to the Ukraine but somehow accidentally ended up on the black market.
Denmark can't defend Greenland, and Hezbollah, Tigrayan rebels, or Nueva Generacion don't give a crap what Greenlanders think or want, and neither do Azov Battalion, Rwanda, or Norks. There's a lot of wannabe warlords and a lot of spare cash just laying around looking for a good investment, and conquering Greenland is hard to beat for ROI, even just by extorting money out of the EU, US, HATO, China, Russia, and Canada, without putting a shovel in the ground after the ~$10T worth of minerals there. Drug gangs are in the process of conquering Haiti as we speak, and there aren't even any resources there other than starving peasants. Rwanda is conquering the DRC right now, for their mineral resources. What is Denmark doing about the threat? Denmark might actually be the distressed seller (who tells us the truth about anything?) because they're providing about $500 million annually to Greenland and can't afford it now, much less afford to spend $B's providing it a proper defense.
I bet the new King Frederik X and his beloved Queen Mary reckon they could spend that $500M/year - plus whatever they could get from the deal - on a lot of things they'd rather have than Greenland. His mother suddenly abdicated and thrust him onto the throne last year - about the time rumblings suddenly started up about Greenland.