Did you raise the complaint with the delivery people at the time, and did you get a response back at all? If you had put something in writing e.g. on the delivery note then you might have a chance of getting a big retailer e.g. Fortress to take some responsibility and reimburse the costs of repair. If this is all coming in as an after the fact complaint a few days later then I suspect the delivery guys will just (be told to) deny all knowledge and you won't get anywhere.
In any case the LL is a greedy git so at a minimum share the receipts for the washing machine with him in writing and advise that you expect this to be covered. At the end of your lease withhold that amount from your final rental payment, plus totally withhold the last two months of rent (I.e. your deposit) before you eventually move on. Nothing he can do.