To stop airlines from canceling flights at the last minute, Europe introduced a set of clear air passenger rights known as EC 261. The section on flight cancellation states that if an airline like Luxair cancels the flight within 14 days of the flight cancellation. If departure is scheduled, compensation of up to $700 must be paid to each affected passenger.

As the law focuses on avoiding disruption to passengers, there is no Luxair flight cancellation compensation if you are offered an alternative flight that arrives at approximately the same time as the original flight.
Luxair Cancellation Policy says Due to medical appointments and appointments with patients, Dr. Barragan could not afford to delay his return flight for so long. Despite spending two hours trying to contact Luxair, he could not be reached and no explanation was given for the cancellation of his flight.