Varma insists negligence by Jet Airways caused the death of her cat.
"I think either the cage was thrown so violently onto the trolley that it snapped open, or someone let her out. There is no way my cat could have pushed the cage open by herself," she says.
Varma now wants Jet Airways to apologize not just for the incident but the "insensitive way" she claims she was treated, being left alone shaking and crying for hours.
She also wants the airline to tell her what steps they are taking to improve pet travel safety.
"I don't want any compensation. They should make a donation to an animal organization," she adds. "They should have a vet present at the airport and an animal handler to accompany the pet to the aircraft."
The Jet Airways representative says the airline has embarked on a global review of other airport and airline procedures.
The representative said: "We sincerely regret the accidental demise of James Dean, pet cat of Ms. Preeti Varma. All our staff are fully conversant and trained in the process of handling household pets and necessary infrastructure is available at the airports to deal with such movements of pets.
"If the actions of any members of our team came across as insensitive we would like to assure that this was unintentional and to apologize to Ms. Varma."
International Pet Travel Consultant Anupama Vinayak, who runs pet relocation service Furry Flyers in India, which flies 40-50 pets in and out of India each month, said she had never heard of an incident like this.
But she added: "Pet travel is still in a very nascent stage in India. Airlines are trying to put their best foot forward but there still is a lot of room for improvement because India itself is not a very pet-friendly country," she said.