"Normally I would expect her [my daughter] to be singing and dancing when watching something like [Peppa Pig] but she was just really subdued," she said.
"I tried to cover her eyes during the trailers and told her they were silly films for mummies and daddies, but there were lots of kids crying and she was very confused and started crying too."
She said she approached the cinema manager after the incident.
"It was meant to be a special day for Annie. I don't think he understands the impact of it," she said.
"You go to the movies and you expect it to be a safe family day out, you don't expect her to be exposed to anything which could do harm."
An Empire Cinemas spokesperson apologised for "any distress" caused by the incident.
"As soon as the staff on site were made aware of the situation, the programme was stopped and trailers were taken off-screen immediately. We do sincerely apologise for this and for any distress caused and will be reviewing our internal procedures to ascertain how this came to be," a statement read.