Queen Margrethe II of Denmark will be interviewed on CNNI (that's CNN International), not CNNA, which is the US network.
The program is called Meet the Queen. It will be shown this coming Saturday (January 14) at 9:30 p.m. (GMT), 21:30 for people who use military time. Many American cable companies carry CNNI, along with CNN.
It will be seen at 4:30 p.m. (ET)/1:30 p.m. (PT). CNNI will repeat the program on Sunday, January 15 at 10:30 (GMT).
The interview is in connection with the Queen's 40th anniversary on the throne.