There is construction ongoing in JKIA of a new terminal 4 for international arrivals and departures which is not affected by the fire. The superstructure is up and almost complete but I imagine the interiors and fittings will still take some time to complete. Tough luck for KQ and the other international operators at JKIA.
The old terminal international arrivals and departures is completely destroyed and I imagine will not be structurally sound for any use and may have to come down.
At the moment I understand most KQ aircraft will divert international to Eldoret and Mombasa for a while, and once domestic flights resume out of JKIA then proceed to JKIA as a domestic flight.
At the moment JKIA remains closed.