According to the Daily Mail, local horse owners have been using Revd Robert Parker's stables located at Tedsmore Estate in Shropshire.
They claim Revd Parker, 72, wanted to increase the monthly rent from £1,000 to £5,000, and won't allow them to move the horses to another affordable stable until they pay a £150 release fee.
They also claim that the vicar will put the horses down or auctioned for slaughter unless they came up with the money by today.
The clergyman has said the stable rent was always £5,000 per month, but he allowed the owners to use part of it, rather than the whole building, for a limited time at a reduced rate of £1,000.
He told the Daily Mail one of the horse owners "... knew that as soon as possible a new tenant would be found to take on the whole centre at the normal rental."
Mr Parker also said the claims he would end the horses' lives were "utter nonsense", and that he's charging the £150 release fee because he is having to take care of the horses while they wait to be relocated.
Current equestrian laws say if a horse is illegally tethered for more than four days at a place, the landowner is allowed to do what he wishes with it. The law was originally made to stop travellers leaving horses unattended for long periods of time.
It's been reported Revd Parker is worth £24m, made through setting up a chain of care homes, hotels, holiday homes and now Tedsmore Estate.
Premier was unable to contact him for comment.