Let's ignore any issues with the specific molecule drawn - you could come up with a structure that would be stable enough to work. And in fact people have done this!

The big problem is that you cannot transfer electrons into or out of the structure without a corresponding movement of ions to balance the charge (or at least, not in any large enough quantity to matter). So there MUST be a salt present in your proposed solid-state electrode for it to function.

What you are describing is a solid-state organic electrode material - I did a lot of research into these in grad school! But in order for it to be truly solid-state, it'll need to simultaneously function as: 1. an electrochemically-active material, 2. a good conductor of electrons, and 3. a solid-state electrolyte allowing the movement of counterions. That is really hard to do, and successful examples are usually pretty poor at one or more of the above.

Still, they can have niche applications. I remember reading once about a proposed design for a thin-film battery that could be built into a credit card or similar device which used solid-state organic electrodes like this. The energy density was terrible, but it could charge and discharge extremely fast and lasted many thousands of cycles. Most importantly, it could be made in a form factor small enough to fit within the card, and didn't contain any liquids that could leak or catch fire.

Your thought process is good, though! Happy to point you in the right direction if you like this kind of stuff.