The incident took place on Saturday.
The development also comes days after the airline had apologised to a passenger who was manhandled at the Delhi airport in October.
"We apologise to Ms. Urvashi Parikh Viren for the mishap which occurred at the Lucknow Airport yesterday at 8 p.m.," the airline said in a statement.
"Parikh was injured and immediately rushed to the doctor of the Airports Authority of India. He administered first aid to her."
According to the airline, the passenger was kind enough to say that it was not a human error and "we should deal with the staff with empathy, when we de-brief our loader. We promised to do so."