I inherited my shed with the site and it isn't where I would have put it
It is full of woodworm holes and is rotten, but it will do for a year or 2 yet!
I would have it out of the way to one side, definately not in the middle, mine is in the center at the back of my plot. It limits what I can do on each side though, seems to take up the whole width of the allotment rather than just the shed to the side! Next to the hedge in the shade sounds good.... just make sure it's water tight when you put it up, we nearly have and luckily it isn't in any shade so can dry out a bit in between showers until we re felt the lot!
Good luck with getting your plot level by spring, hoping to do the same ourselves
