As one who has been on both "sides" of your question I can say that the chances of being accidentally shot are tiny, and deliberately shot, nil.
I used to manage some woodland in Somerset, 1200 acres, and was a part time deer stalker at a 5000 acre estate in Wiltshire, for ten years.
If walkers passed through the area we would allow them to pass unmolested and without contact, whenever possible, which was 99% of the time.If contact was unavoidable we would always be polite and helpful.
I did hear of a man who was out after dark, badger watching, and using some sort of night vision device when a hunter out for foxes (legally ) mistook the reflection off his device for the eyes of a fox and badly wounded him.
Although the watcher was trespassing the hunter was in the wrong for not positively identifying his target, and was rightly prosecuted for wounding, lost his liberty for some years and lost his firearms license for ever.
(Doubtless others on here will have many stories as to how awful the shooting fraternity is, I bow to their knowledge and experience. I will just say that to many in the countryside total strangers appearing to disrupt one's legal activities is seen as annoying and sometimes threatening.)
As a rule, people who shoot need written permission to shoot on a specific piece of land and therefore have the permission and trust of the land owner.
I have camped in various places but I always made sure that there was no evidence of shooting activity around before setting up camp, and never tried to camouflage anything, or wear camouflage clothing, or act furtively. In the Lake District where I live I either use a remote camp site or wild camp at a high elevation.
My advice to you is, if possible get permission to camp. If you hear or suspect shooting is going on make your presence known. Sure signs of shooting activity are pheasant pens, deer fencing, high seats against trees, empty cartridge cases on the ground. Wear "normal" outdoor clothing and don't pretend you are in the SAS. Treat other land users with respect, but do not be intimidated by a person carrying a gun, the law of the land applies to him too.