The likes of TLC would cut you any length you wanted, but the postage would probably cancel any advantage. If it were me, and I didn't actually have any new cable lying around, I think I would be searching my cellar and garage for discarded appliances with suitable cables to 're-cycle'!I am not sure what to do I suppose I best not risk it as it is to extend the washing machine flex so a quite a bit of current will flow through it. The problem is I only need 2 metres which limits where I can buy it from. B&Q and Screwfix both want well over £10 for 5 metres of Tower branded stuff.
Screwfix, Wickes and and of the 'sheds' would sell you a '13A' 2m 'extension lead' for well under £10. If the cable looked OK, you could chop it off and use it (it would probably be 1.25 mm², but that should be OK for you) - and, if it wasn't a moulded one, you might even end up with a spare BS1363 plug as 'profit'!
Kind Regards, John