The ferry, with 87 passengers and 59 crew on board, left Rosslare yesterday at 9am but failed to dock twice due to high winds and rough seas.
Passenger/Ro-Ro Cargo Ship Stena Europe - Image courtesy: Peter Evans
Stena Line's Head of PR & Communications Diane Poole has said the captain of the ferry has departed for Fishguard and will assess the situation at 10am.
She said the wind has abated somewhat and they may be able to dock earlier than expected.
Speaking on RTÉ's Morning Ireland, Ms Poole said spirits among the passengers are good but they are anxious to get home after being on the ferry for almost 24 hours.
A compensation policy was in place and "all the passengers will be well looked after", she added.
A ferry sits stranded off the coast off West Wales, unable to dock in Fishuard Photo courtesy of Lesley Hughes
Services on the Dublin to Holyhead crossing are expected to run as normal today, but intending passengers are advised to check in advance.
Yesterday, the UK was lashed by heavy rain as Storm Angus caused flooding and travel chaos across many parts of the country.
The wind and torrential downpours which deluged many parts of the UK saw roads closed, homes flooded, schools shut and cars submerged.
More than 75 flood warnings were put in place across the southwest, the Midlands, northeast, northwest, Wales and the east of England by the Environment Agency yesterday evening, with a further 207 flood alerts issued across England and Wales.Many railway lines were also affected by the flooding, with multiple providers reporting delays and blocked lines.
Met Office meteorologist Alex Burkill said in the hours between 5am and 5pm yesterday, 48mm of rain fell in Brendon Hill in North Devon, 35mm fell in Bristol, 48.6mm in Pennerley, Shropshire, and 49.4m in Tafolog, Monmouthshire.