Yes, and that's unusual.
Protocol dictates that that a foreign dignitary is met on an equal basis, so a Secretary of State wouldn't normally be met by both the Monarch and the Heir.
But.
There are two reasons for that:
A) The standard. It is a vital Danish interest to have a good relationship with any US administration and that is cultivated actively even before the new administrations takes over. - Hence the red carpet being rolled out here.
B) Greenland.
There are considerable resources in the Arctic that are becoming available due to global warming and there are the Arctic sea routes, two of them passing Greenland.
As such there is an increased race to develop the Arctic areas, but also an increased military presence.
From a US standpoint, there is no way USA will allow Greenland to fall under Russian or more likely Chinese control - one way or another.
China has tried to buy itself into Greenland, something that has been countered by Danish and now US investments in Greenland.
Danish military presence has long been increased in Greenland, now with an agreement that the US Coast Guard will from time to time visit Greenlandic ports to show the flag - and "assist" in various ways.
To the great annoyance of Russia, that has absolutely no interest in USA creeping - openly - closer to Russia and not least the sea route north of Siberia.
At the same time USA, Greenland, Norway, Canada, Russia - and China(!) is laying claim on the geographic North Pole.
That is to be settled in a few years and Greenland has a very big chance. For two reasons: The North Pole is located in the same geological plateau as Greenland - and Greenland (read Denmark) is small enough to be palatable for Russia and China. And Denmark is a close ally of USA, so USA finds that solution palatable as well.
In Greenland there is among shall we say the opinion elite there, a dream of independence. Where Greenland becomes an equal nation within a commonwealth consisting of Greenland, the Faroe Islands and Denmark and preferably with the Danish Monarch as head of state.
The problem is that with a population of 65.000 including Danes and other foreigners, Greenland, administratively, talent mass and economically is the size of an average Danish municipality.
Greenland cannot uphold and ensure it's own sovereignty. Greenland will have problems making ends meet economically. Not to mention education, healthcare and the multitude of other problems a sovereign state has to deal with.
Greenland hasn't got the money nor the people to do all these jobs.
Some in Greenland believe that by having such a crucial position they can bargain in equal terms with the greater powers, USA in particular. And play them against each other. I.e. Chinese versus US investments and agreements that would be favorable to Greenland.
- They can forget all about that. It's a dream. A mirage.
China can say: Well, we now control an X percentage of the Greenlandic economy. Here is what we want you to do...
Or USA moves in and turns Greenland into a protectorate.
Because no US administration will allow any foreign country except Denmark to have decisive influence in Greenland.
The Biden administration is simply saying politely, what president Trump said very bluntly: We want control over Greenland!
Now, Greenland has autonomy except in matters of justice, police, security and foreign policy - that is handled by Denmark.
So the US Secretary of State is going to Denmark, to negotiate "investments" in Greenland, with the Greenlandic government and the Danish government. - That will put pressure on the Danish government to invest more in Greenland, also militarily. And give the Greenlanders the appearance of having a say...
They don't. The fate of Greenland is decided in Copenhagen and Washington - mostly in Washington. - That began to dawn on some Greenlanders when former president Trump made his bid.
Happy Posting! 
Yes, it's pretty much a "we are back in business" as well as a celebration of QMII.
