Crown Prince Frederik of Denmark, who is first in line to the Danish throne, and his wife, Crown Princess Mary of Denmark, will attend the ceremony in her place.
Prince Frederik also recently came out in support of the queen amidst a family squabble concerning the titles of his brother Prince Joachim's three children.
Queen Margrethe announced last year that she would be taking away his four children's prince and princess titles and that they would instead receive the titles of counts and countesses.
The decision, which she said was to allow her grandchildren greater freedom, was "in line with similar adjustments that other royal houses have made in various ways in recent years," according to a statement released by the Danish royal family.
The decision apparently came as a surprise to Joachim, who is currently living in Paris with his family before an upcoming move to Washington, DC.
"My kids don't know which leg to stand on. What they should believe," he said in a press statement, according to Town & Country. "Why should their identity be removed? Why must they be punished in that way?"
Prince Frederik, who is heir apparent to the throne of Denmark, came out in support of Margrethe's decision.
"My mother has made this decision alone, because it is what she can do and it is what she wants, and she thought now was the time to make a decision that I also support and see as the right thing to do," Frederik said outside of a Copenhagen school where he attended an event in October 2022, People reported.
"I myself am interested in the Danish monarchy staying lean over time, so I, therefore, support my mother's decision, which she has chosen to make," he added.