what to do with shaded area by fence
please see the right hand side of this photo, which was taken at 6.30am this morning:
anything from the left of the trellis, right up to the top right corner of the fence, gets no sun at all past about 12ish. the photo aspect is facing mostly east-south, the sun rising about 45 degress to the left of the photo, next doors fence on the left (yes, that crappy horrible green fence is NOT ours!) faces the sun south. the soil is very acidic, heavy clay, and the top right corner particularly gets no sun at all due to the back fence, and thus has moss and other weed issues.
im not really sure what to do with it to be honest. i would like a compost bin/area, and maybe a growhouse too, would these be suitable places to put them? the growhouse in particular, would that need some sun? i have nowhere else to put these two see, behind the trellis in the second picture is owned by the council so we cannot make use of that space
any suggestions would be great!