Eleanor Hawkins, 23, was one of four Western tourists who flew to Kuala Lumpur yesterday to be deported after admitting obscenity charges.
"I know my behaviour was foolish and I know how much offence we all caused to the local people of Sabah. For that, I am truly sorry," she said in a statement outside her house in Draycott, central England.
She landed at London's Heathrow Airport this morning.
Her mother Ruth said: "She knows what she did was wrong and disrespectful and...She has been appropriately and fairly judged by the Malaysian authorities and has served her sentence in full."
Some in Malaysia including officials had blamed their actions for causing the earthquake.
They were fined 5,000 Malaysian ringgit (USD 1,330) by a local court on Friday and sentenced to three days' jail time starting from when they were arrested on Tuesday, meaning their term had been served.