Services at the Town Lane based hospital are only now getting back to normal, with the Southport and Ormskirk NHS trust one of the last to recover following a crippling nationwide computer attack on the NHS. The cyber-attack, he insisted, was not because of "NHS manager incompetence".
The NHS has provided an update about planned treatment and outpatient appointments following the ransomware attack on its IT systems.
Microsoft also criticised the failure from many organisations to keep their systems up to date, saying that this made it considerably easier for the virus to spread.
The NHS was badly affected by the WannaCry ransomware virus, which affected more than 300,000 computers, with 47 trusts in England and 13 Scottish health boards compromised.
Rudd was speaking after chairing a meeting in Whitehall, London, of the government's main emergency committee, known as Cobra.
It is estimated that more than 200,000 computers have been affected so far across the globe, and the National Cyber Security Centre has warned that "further causes of ransomware may come to light, possibly at a significant scale".
The West Herts Hospitals NHS Trust - which runs hospitals in Watford, St Albans and Hemel Hempstead - also experienced IT failures last week. There is still no evidence any of our hospital systems were affected and we are completely confident no patient data was involved.
Problems with cyber security in the NHS was highlighted previous year by Dame Fiona Caldicott, the national data guardian, who warned issues were given insufficient priority and that health bodies persisted in using obsolete computer systems, The Times reported. People should continue to use the NHS wisely.
Mr Turnbull's cyber security advisor, Alastair MacGibbon, said none of Australia's government agencies or health systems had been hit.
Asked if warnings had been ignored, Mrs May said: "No".
On Friday afternoon, a number of NHS digital systems throughout the United Kingdom, were attacked by ransomware.
Another method, which preys on machines using outdated software, is visiting a malicious site.