You can refer the matter to the police but they will probably tell you to contact Action Fraud to whom these kind of fraudulent matters are referred. I’m sorry to say that the chances of getting your money back are slim.
If you pay by credit card, you could file a section 75 Consumer Credit Act claim and the credit card company would refund you.
If you paid by debit card, once again, if the service is not been received, the bank can charge back from the card.
If you paid by bank transfer, directly from your bank account, there is no way of reversing that process and even if there was, could well find that the account that the money was paid into has now been emptied and closed and many of these accounts actually belong to 3rd partieswho themselves have been the victim of fraud by having their own accounts taken over.
Can I clarify anything for you?
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We can still exchange emails. Best wishes.