Answer: Deer will eat so many different plants, it is difficult to suggest a "deer proof" selection, in part because deer in different areas will eat different plants and also learn to eat new plants over time. You might try one of the dwarf lilacs such as Syringa meyeri 'Palibin' or Syringa pubescens subsp. patula 'Miss Kim' or possibly a smaller growing forsythia such as Forsythia x intermedia 'Fiesta' Plant Patent No. 7523. Your local county extension and/or professional nursery staff may have different suggestions based on a more detailed understanding of the growing conditions along the fence as well as your overall design goals.
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