Revd Alison Waters, from St Mary's Church in Stockland, has been speaking to Premier after the government announced it wouldn't be giving the final go-ahead on the new station until autumn - on the day they were due to sign contracts with French energy company EDF.
EDF is footing most of the £18bn bill to build Hinkley Point C, with Chinese investors providing around £6bn. Britain then buys back the power generated from them.
Supporters of Hinkley Point C say it will create thousands of jobs and provide 7% of all the electricity Britain needs - amounting to around 5.8 million homes.
However critics say nuclear is an inherently dangerous energy source, are concerned that foreign investors and not the UK government will own the plant, and fear Britain will have to pay too much for the electricity it produces.
Some have also said EDF are not up to the task of building Hinkley Point C; two senior executives recently resigned over fears they could not see the project through and the company recently had to raise £3.4bn from investors.
Commissioning for Hinkley Point began several years before Theresa May became Prime Minister and it's possible the delay on a final decision until autumn is intended to give her an opportunity to review the contract details and prices struck by her predecessor David Cameron's government before going ahead with them.
Speaking on Premier's News Hour, Revd Alison Waters said: "I think everyone's quite shocked really.
"It's just yet another delay - more uncertainty for this community.
"Whilst it's disappointing for the local area because the expectation was that it would be agreed this week, nonetheless everyone wants it to be successful, and therefore if that means looking at it again... then let's get on and do it.
"Just having this long, long period of uncertainty causes difficulties."
Ian Liddell-Grainger, Conservative MP for Bridgwater and West Somerset, said the delay was simply ministers adopting a precautionary approach.
"It was originally intended that the final go-ahead would be jointly announced by both governments once the British and French parliaments were in session again in the autumn so in reality this does not represent any further slippage in the timetable," he said.
"But I have no doubt that Hinkley Point C will go ahead and that the South West will soon begin to reap the benefits of being home to the largest civil engineering project in Europe."
Listen to Premier's Aaron James speaking to Revd Alison Waters on the News Hour:
