The main problem is with the light-weight stakes:
- Push gently on the side of one of the stakes; I'm pretty sure you'll see it move a little, even when not pressing very hard.
- When you pull one strand tight, the stakes almost certainly move closer together and the other strands become looser; keep tightening each strand in turn and eventually the stakes will be touching each other.
- When a deer tries to get to the tree, the stakes will either pull out of the ground or break off.
There are seven wires pulling two poles together, so the setup is going to need something that can pull them apart harder than all seven combined, such as:
- Much stronger and better anchored poles (e.g. t-bars embedded in concrete).
- One or more rigid horizontal bars between each pair of poles (e.g. the same kind of 1" stakes).
You could even use those bars instead of the wires.
- Guy wires at each corner anchored to shorter stakes a few feet away (utility poles use this method to prevent them from being tipped over whereever the power lines change direction).
But a second problem is with the wires:
- To get to the tree, the deer will simply push its head through the large space between the wires.
Combined, these problems make it about as effective as posting a "No Deer Allowed" sign beside the tree.
To give this a chance of working, there would have to be much closer spacing between the horizontals.
The result though would be very much like an improvised mesh fence.
And, from what I see elsewhere, mesh fencing really is the way to go, presenting what looks like a solid barrier to the deer, which will normally avoid it rather than simply tearing it down (which they could easily do).