England's chief medical officer said the patient contracted the virus in China and sources said the woman developed symptoms after landing, called NHS 111 and later tested positive.
Health officials in England are reporting the 9th COVID-19 case in the country and the first in London.
Prof Paul Cosford, from Public Health England, told the BBC his teams were doing their best to contain the spread.
More than 80 people staying in accommodation at Arrowe Park Hospital will be allowed to leave after testing negative for the new strain of coronavirus.
Michael Head, a global health expert from the University of Southampton said that of the 1,750 tests carried out so far in the United Kingdom, more than 99 per cent had turned out to be negative.
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"What we should be doing is taking sensible precautions we would normally take in the winter season", he said.
'Provided the individual followed the government's advice (to self-isolate) there should be little concern of transmission to the general public in London, ' she said.
Organisers of the Mobile World Congress, which had been due to take place in Barcelona at the end of the month, said it had become "impossible" to hold it this year due to "global concern" around the outbreak.
"At the moment the numbers we are seeing out of China are so variable that it is really hard to put a fixed figure", he said.
She was being treated by National Health Service specialist at Guy's and Thomas's in London.
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Authorities in London confirmed the city's first case of coronavirus on Wednesday after a woman who caught the illness in China was diagnosed. The individual acquired the virus in China.
Two of those are Britons, taking the number of Britons on the ship diagnosed with coronavirus to three.
The jump raised the death toll to 1,355 and the total number of nationwide infections to almost 60,000 - just hours after President Xi Jinping touted "positive results" from the government's drastic measures to contain the virus and a top Chinese expert predicted the epidemic would peak this month.
Kharn Lambert, one of the 83 leaving Arrowe Park, said: 'I'm ecstatic and so happy everyone has come back with negative test results'.
Of the 44,730 cases in China, the World Health Organization (WHO) confirmed 33,366 were in the Hubei Province, where Wuhan is located.
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And so-called super-spreader Steve Walsh, who unwittingly passed it to 11 people, told of his relief at returning to his family after six days in hospital.