Is influenza airborne or spread through droplets?

Or both?

It is airborne (droplets)
and transferred via touch e.g. if a carrier of the virus has touched a surface with a used tissue or if they sneezed into their hand and then touched a doorknob - then someone else touched that surface and rubbed their eyes, nose or mouth.
The best way to avoid it is to wash hands frequently.

Same thing, airborne is spread thru little droplets in the air.

Influenza is spread, or transmitted, when a person who has influenza coughs, sneezes, or speaks and sends influenza virus into the air, and other people inhale the virus. The virus enters the nose, throat, or lungs of a person and begins to multiply, causing symptoms of influenza. Influenza may, less often, be spread when a person touches a surface that has influenza viruses on it 鈥?a door handle, for instance 鈥?and then touches his or her nose or mouth.

A person can spread influenza starting one day before he or she feels sick. Adults can continue to pass the influenza virus to others for another three to seven days after symptoms start. Children can pass the virus for longer than seven days. Symptoms start one to four days after the virus enters the body. Some persons can be infected with the influenza virus but have no symptoms. During this time, those persons can still spread the virus to others.

There is a difference between airborne and droplet transmission.

Airborne transmission occurs when bacteria or viruses travel on dust particles or on small respiratory droplets that may become aerosolized when people sneeze, cough, laugh, or exhale. They hang in the air much like invisible smoke. They can travel on air currents over considerable distances. These droplets are loaded with infectious particles.

With airborne transmission, direct contact with someone who is infected is not necessary to become ill. The amount of exposure necessary varies from disease to disease. With chickenpox, a child could easily catch it from another aisle in a supermarket. With tuberculosis, closer contact and less air circulation are often needed.

Droplet transmission occurs when bacteria or viruses travel on relatively large respiratory droplets that people sneeze, cough, drip, or exhale. They travel only short distances before settling, usually less than 3 feet. These droplets are loaded with infectious particles.

They can be spread directly if people are close enough to each other. More often, though, fomites are involved. The droplets land on hands, toys, tables, mats, or other surfaces, where they sometimes remain infectious for hours. Hands that come in contact with these surfaces (doorknobs, telephones, pens, etc.) become contagious. When the infectious hand touches the nose or eyes, the infection is able to enter the new person.

Many common infections can spread by droplet transmission in at least some cases, including:
Common cold
Diphtheria
Fifth disease (erythema infectiosum
Influenza
Meningitis
Mycoplasma
Mumps
Pertussis (whooping cough)
Plague
RSV
Rubella
Strep (strep throat, scarlet fever, pneumonia)