You learned from a gossipmonger in Linhir that King Elessar has begun to tour his kingdom, and indeed has already departed Minas Tirith!
'I have heard his travelling party will be quite large, so it will take him some time to arrive. The person with whom I spoke said the King intended to first visit Imloth Melui, if you cannot wait for him to reach Linhir.'
According to Pethanar, the gossipmonger of Linhir, King Elessar's travelling party will have reached Imloth Melui by now.
Legolas and Gimli have come with King Elessar's travelling party to Imloth Melui.
King Elessar is inside the tower guard-house in the centre of Imloth Melui, in King's Gondor.
King Elessar told you to find his trusted bodyguard somewhere outside the Hall of Lady Vanyalos, in Imloth Melui, King's Gondor.