"Erdogan's international contacts do not grow on trees these days, so there is no doubt that the Queen's visit will be used to the max to paint a positive picture of Erdogan," Pola Rojan Bagger, journalist and author of several books on Turkey, told Danish newspaper Berlingske.
Naser Khader, foreign affairs spokesman for the Conservative Party, advocated for stronger international pressure on Erdogan.
"It is no good that Denmark in this way validates Erdogan, who is becoming increasingly dangerous and dictatorial," said the conservative politician.
Even foreign relations spokesman Nikolaj Villumsen of the Red-Green Alliance and former Foreign Minister Holger Nielsen of Socialist People's Party argued that the visit sent the "completely wrong signal," due to its "bad timing," whereas journalist Lars Hedegaard of the anti-Islamic newspaper Dispatch International put it more bluntly than anyone.
"So the Queen is going to fly down and rub elbows with a supervillain. This is hardly a pleasant experience for Her Majesty," Hedegaard told Berlingske.
"The goal is to promote Danish trade interests, which is very beneficial. We also try to get along with China and Iran. State visits of this type live their own lives, and that's fine," he said.
The Queen will visit Turkey jointly with Denmark's Foreign Minister Kristian Jensen and a Danish trade delegation. Technically, the high-profile event is defined as a return visit after the former Turkish President Abdullah Gul's visit to Denmark in 2014.
Last week, the Danish parliament made some sharp criticism of the prosecution of parliamentarians in Turkey and called for a resumption of the peace process between the Turkish government and the militants from Kurdistan's Workers Party PKK.
Lastly, Erdogan was also condemned for Turkey's controversial offensive against southeastern and predominantly Kurdish parts of the country. Since the summer of 2015, Turkey has been teetering on the brink of civil war after the Turkish military destroyed a number of cities in a declared fight against militant Kurds.