The latest update from the Foreign Office is no longer advising against all but essential travel.
This includes the following areas:
Humla, Mugu, Dolpa, Mustang, Manang, Lamjung, Dhading, Nuwakot, Kavrepalanchok, Ramechhap, Okhaldhunga, Solukhumbu, Sankhuwasabha and Taplejung
Nepal is in a major earthquake zone and remains at risk from further earthquakes, aftershocks, landslides and flooding. You should familiarise yourself with safety procedures in the event of an earthquake; the risks to personal safety are likely to be higher in the areas to which the FCO advise against all but essential travel.
All airports are open and both international and domestic flights are operating as normal. All air carriers from Nepal have been refused permission to operate air services to the EU due to safety concerns.