After a survey. The path on the east side of the deer fence has been rerouted to a wooden section of the deer fence.  Whilst not a formal stile, the wooden fence can be climbed.  The Strava Global Heat Map shows folks using this route and the wooden section to cross the deer fence.  See photos at 8.70km here: https://www.komoot.com/tour/1395607731
The east side path zig-zags through rows of brushwood. 