Medi said the storm had shown the strategic importance of the port to the UK, Ireland and Europe.
“Things have to go wrong before anyone actually recognises the value of it,” she added.
“People don’t realise it’s not just the inconvenience of the port being closed, it’s actually having a personal impact on people and their families.”
Port operator, Stena Line has apologised for the cancellation of its Holyhead sailings, adding that it was “doing everything in its power to mitigate the effects of the closure on passenger and freight traffic”.
There are normally four daily ferry sailings going each way between Holyhead and Dublin, operated by Stena Line and Irish Ferries.
The closure had led Ireland’s national postal service to abandon plans to use Holyhead port for Christmas deliveries.
The ongoing closure of the port comes after power returned to the remaining businesses and homes left in the dark across Wales following the storm.
Storm Darragh saw gusts of up to 93mph (150km/h) as it battered the UK.
A Welsh government spokesperson said the closure was being managed through a coordinated effort between itself, the Port Authority, Stena Line, Irish Ferries, and Isle of Anglesey council “to ensure public safety and minimise disruption”.
