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Thanks for all the answers. I wouldn't put the dishwasher in the lean-to, because that would mean carrying the dirty dishes from the kitchen to the lean-to, and the clean dishes back ... besides, it gets chilly in the lean-to and I wouldn't want to stand there and get cold while loading/unloading the dishwasher. The washing machine would be used less than the dishwasher, and the laundry gets hung up in the lean-to or garden.
True, the dishwasher door wouldn't be open except when loading or unloading. I just wondered if there were any dishwasher doors that opened a bit less or were a bit shorter than others, to make sure it didn't hit the cupboards on the other side of the aisle.