Ms Cilliers documented the four-hour-long rescue mission as it unfolded, posting regular updates on Twitter.
Her final post at 10.43pm showed the swan, “safe and sound”, being looked after by the London Wildlife Protection.
“It’s always good to see a happy ending,” she said.
A Network Rail spokesperson said on Tuesday: “Yesterday evening we were alerted to a report of an injured swan on the line at South Acton station, resulting in delays between Willesden Junction and Richmond.
“Response staff arrived on site to safely remove the swan, who is now in the care of the London Wildlife Protection.
“Delays caused by birds are not uncommon in Britain, and while we appreciate delays are frustrating for passengers, it is important we play our part in protecting Britain’s bird species.
“Anyone who sees an animal on the tracks is advised to ring the Network Rail helpline on 03457 11 41 41 so our specially trained staff can help.”