According to the website, Tatton Park has two kinds of deer- red deer and fallow deer. I'm not certain, but I think this is a red deer hind.
Thank you! I Googled them both and I think you are right. I like the look of them. Were you that close?
The deer were very tame and allowed me to get almost within touching distance.
I'd guess there were about fifteen of them, drifting in a herd across the park.