Not if it's €100K or less. And maybe not even if it is more than that.
Because (a) the deposit guarantee scheme guarantees 100% of deposits up to €100K and (b) there is no hard evidence that EBS deposits are at risk right now.
I asked why the OP does not have cause for concern in the present climate and you havent answered that question. It's obvious that if the banks and building societies default that our government will not be able to pay for all their desposits and liabilities. You have overlooked that point.