"As soon as he became aware that police were on his trail, he tried to leave the country but fortunately we intercepted him as he boarded his flight," a detective said.
Passengers aboard the BA flight to Los Angeles had to be removed while sniffer dogs inspected the plane.
"Why do we need to treat everyone like a criminal when they get to the border?" Heathrow's chief executive asked.
The government is proposing legally binding noise targets to provide respite for local residents.
One of the biggest rows in British politics has been over where to place a strip of tarmac.
Cafferkey was infected while working at a Sierra Leone treatment centre in 2014.
A police investigation was launched following the arrest of two women at the airport over alleged fraud.