Where to place a greenhouse

We have very kindly been given an 8ft x 5ft greenhouse which we shall need to reassemble soon. Our problem is that I do not want to put it in the main part of our garden as it will spoil the look of it. We have our veggie patch in a sort of "wilderness" section hidden from view which is where we plan to grow everything. I want to place the greenhouse in this section as it is close to everything. The problem is that the only place it can go is next to a tree!! I was thinking that if i remove some of the lower branches this will allow much more light in, but it still wont get full sun all day. I know this is not ideal but dont have much choice. Will i still be able to grow plenty of stuff in this position? It really isnt deep shade and most of the day would have dappled sunlight.

Yeah, it should be fine 

Look on the bright side, that the plants leaves are shaded from the powerful mid-day summer sunshine so not to burn them

Just a point -- I have two greenhouses and one is about 8 foot from a willow the other nearer 20 foot away but orientation is such taht shading is only very slight. The willow sends roots into both greenhouses and sends up suckers - not too bad as I just dig out any roots I find and cut off the suckers. I did have to get a tree surgeon to take top out of willow though when it decided to start to curve over the smallest GH and I was worried about any falling stuff in the future. (Tree surgeon was here for other reasons so did not cost me on that occasion) Just making the point that trees grow so it is worth thinking along way ahead.
R

mine stand on a ring of blocks that are supported off 3inch thick paving slabs which is what I had spare. Others will have other suggestions but obviously a good foundation is required or the greenhouse will sag and settle and the glass will crack/leak etc and doors not run true.
Two or three courses of brick on a  concrete footing is traditional. then the beds use the brick as one side wall of the bed
R