The roes in Cumbria were certainly not deterred by sheep or their droppings, and would come and pinch hay from the ponies too!
I think there may be something about how much room there is before there is another fence. They don't like to feel they have only one exit route. So big fields or very long fields seem to be favourite. And they prefer to not be disturbed (by dogs or humans), and if they think they might get disturbed, to stay within leaping distance of the woodland edge.
They seem to establish routines, where and when they graze. When I lived in Exmoor I always knew where I would see what deer at what time of day. Last summer I went back to see the reds on what used to be a favourite walk when I lived there. I wish I could say they were still there at the same time of day, but unfortunately - presumably with lockdown - I found that the paths were much more well-used than they'd been 14 years earlier and I didn't see any deer there at all, sadly.