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That's a chaffinch Fringilla coelebs Robin and Angie. They are quite adaptable in the winter and eat small to large seeds.
I expect you may find the deer dead later, Richard.... a friend in Aberdeenshire did after it ate her rhodos a few years ago.... no injuries, just well grown but dead deer. Her son is a vet and said he thought it was likely the rhodo foliage was the cause of death.