small north facing garden and shed

I have an issue with the location of my garden shed. It’s in a north facing garden and we put it at the back of the garden but facing the patio doors (on the back left of the garden, west) The reason for this is the sun lasts longer in the evenings on the right, east. Now we’re thinking of putting down a patio and I don’t know whether to put it near the house by the patio doors or at the back of the garden. What would you recommend I do with the shed, do you think it’s unsightly to have it facing the patio doors, especially if we put the patio in front of it. What options do I have as I haven’t a clue what to do. The shed is 10′ x 6′. The garden is approx 32′ x 25′ Thanks very much.