The taxpayer was called by a phony company earlier this week which said she was due a £2,000 refund, but needed to pay a £192 admin cost first.
After giving them her bank details, the fraudsters entered an incorrect expiry date and the payment was refused.
Shropshire Council has since issued a warning to residents.
A spokesperson from Shropshire Council said: "We have taken a call from a council taxpayer. She received a call from a company called Council Tax Recovery and VOA – they advised that she was due a credit and asked for her bank details.
"Sadly, she gave them to the company for a payment of £192 to be taken for the administration of a £2,000 refund.
"Thankfully, they took down an incorrect expiry date and when they tried to take payment her bank stopped it.
"She has spoken to the bank who are monitoring her account.
"We will also advise the customer to report to Action Fraud. Please be vigilant."
Suspicious activity can be reported to Action Fraud on 03001232040 or online at actionfraud.police.uk