Denmark used to be one of the most pro-American countries in Europe, effectively having no foreign policy of their own but just jumping after the Americans.
It has been really pathetic to watch, but at least now their shaken out of their dumb american dream and forced to wake up. I imagine they will take some time to really put together a response as they haven't had an independent thought about foreign policy since before the war, but the damage caused here to the US is effectively that they lost one of their by far most loyal allies on the international stage, and I don't see them ever coming back.
As for moves to boycott US products and more popular resistance I haven't seen much about it in the streets. I'm hoping it'll come.