If I connect the cold water hose on my washing machine to the hot water pipe will it make a difference?

I have attempted to connect the cold water hose to the cold water pipe but for some reason I can't fully turn the little handle that switches the water on. The hot water handle would turn fine however if I connected the hose to that. Would it make a difference to the machine (i.e., would it damage it) if I... show more I have attempted to connect the cold water hose to the cold water pipe but for some reason I can't fully turn the little handle that switches the water on. The hot water handle would turn fine however if I connected the hose to that. Would it make a difference to the machine (i.e., would it damage it) if I connected the cold hose to the hot pipe? Thanks
Update: The water tap is this one:
http://assets.grahamplumbersmerchant.co.uk/product-images/4364/Main/4364.jpg
When I screw the hose onto the tap, the blue bit can't turn because the bit I screw onto the tap is in the way. This is the type of hose: http://www.partmaster.co.uk/image/480/5031689283854/0/z/
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