She was at the centre of a row claiming she had added the words "unless you die" to the end of a message she had posted on Facebook.
The controversy surrounds an item on Ms Allan's Facebook page where she published a message, attributed to "Rusty, from Dawley", which described her as a "robot" with "no empathy for anyone but your super rich buddies and benefactors".
The post concluded by stating "unless you die".
Conservative MP Ms Allan said that she had published the message to illustrate the abuse that MPs are subjected to.
However, the man responsible for the initial message, writing under the pseudonym Rusty Shackleford, immediately replied to the social media post stating that he had not made the final comment.
Ms Allan has said that she added two separate pieces together when making the post but had not identified the sender because she had not used his surname.
In a subsequent post on Facebook, Ms Allan said: "I posted actual comments made to me on the same day, although not in the same email.
"Comments were added to the post as they came in.
"I posted them to show examples of unacceptable online abuse that comes in most days and that most people tolerate silently."
"Rusty" has been quoted on the website of a national newspaper calling for Ms Allan to step down.
He said: "I would never say the words she attributed to my initial email."
Ms Allan said she had also provided an official response to Rusty's message.
She said: "Despite being a pseudonym and using a false address, Rusty did get a formal response to his email on Syria from my Parliamentary email account."
Ms Allan was elected as Telford MP earlier this year when she beat Labour incumbent David Wright.