Threatening to file defamation case for posting a bad reviews

Hi there, I posted a bad review on 2 different websites (mouthshut.com and consumercomplaints.com) for a bad service rendered by a moving company. the delivery of my goods was 2 days late and i incurred some expenses because of the delay. Also damages on some of my goods. I have evidence of the damage and the delay The moving company first politely asked me to remove the reviews. when i raised the topic of reimbursement, they hint at a defamation case. I'd like to know what is my position as a consumer in such circumstances Thanks in advance