What's the problem? Denmark would have welcomed a big Naval presence in Greenland. It benefits them too.
It should have been:
America: can we have a big Naval base in Greenland? Denmark: sure. 100 year agreement?
America: give us big Naval base in Greenland or we will annex you! Denmark: Eh... sure, are you alright?
America: we will annex you.
What's the problem? Denmark would have welcomed a big Naval presence in Greenland. It benefits them too.
It should have been:
It could have been: We got: