He claimed the MP had not held a surgery in the town since March 2020 and had not maintained a constituency office “for a considerable time”.
Councillor Snape also said her “absence and lack of interest/contribution” had held back local projects, as he hit out at her living in the Cotswolds rather than in her constituency.
In a statement on social media, he added: “It’s the job of our MP to represent the views of Mid-Bedfordshire constituents in parliament and hold the government accountable, pushing for positive changes to policy and legislation.
“In my personal opinion, Dorries hasn’t done this.
“Her focus appears to be firmly on her TalkTV show, her new Daily Mail column, and, more recently, her upcoming tell-all book and exerting as much pressure as possible to embarrass the government into giving her a peerage.
“Regardless of your political viewpoint, Mid-Bedfordshire residents desperately need representation at Westminster. It’s time for Dorries to put Mid-Bedfordshire first and let someone else have a go.”
Ms Dorries announced her resignation last month, just hours before Mr Johnson quit in protest against the Privileges Committee findings – ruling he deliberately misled parliament over lockdown breaking parties in Downing Street.
At the time, she said a “new life is opening up” in front of her, so it was the right time to step down.
However, rumours swelled that she had been in line for a peerage and was cut from Mr Johnson’s resignation honours list at the last minute to ensure it got the sign off from the current incumbent in Number 10.
In the following days, Ms Dorries said she would not formally resign until after she got answers from Downing Street about why she did not get her peerage.
“It is absolutely my intention to resign,” she tweeted. “But given what I know to be true and the number of varying and conflicting statements issued by Number 10 since the weekend, this process is now sadly necessary.”
The delay to her exit has drawn criticism from all over the House, with the Tory chair of the public administration and constitutional affairs committee referring to her as the “lingering member for Mid-Bedfordshire”.
Liberal Democrat MP Sarah Olney said the letter showed people were “fed up with being taken for granted”, adding: “While families across Bedfordshire are struggling to see a GP and facing soaring mortgage costs, Nadine Dorries continues to hold on to a job she has no interest is doing.
“Dorries needs to step aside now to give people the chance to elect a proper local champion, one that will stand up for them and champion their voices in parliament.”
Sky New has contacted Ms Dorries for a response to the town council’s letter.
The Mid Bedfordshire Conservative Association had no comment on the row, telling Sky News: “This letter was addressed to Nadine, and therefore a matter for her.”